How many times the unit quantity
4.OA.A.24.NBT.B.5
Generated variants — 10
An airplane travels in one hour. If it flies at the same speed for hours and minutes, find how many it can travel.
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Understand
An airplane flies 864 km every hour at a steady speed. Find how far it travels in 4 hours and 30 minutes.
- The airplane travels 864 km in one hour
- The speed stays the same
- The flying time is 4 hours and 30 minutes
- The total distance in km
- 30 minutes is half of one hour, so the time is 4 and a half hours
- Distance equals the per-hour amount times the number of hours
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
Distance is a rate problem: km-per-hour times hours gives km. Tracking the unit 'km in one hour' as the per-unit amount and recognizing 30 minutes as half an hour lets us split the trip into 4 full hours plus a half hour.
Execute
Review
In 4 and a half hours the distance should be a bit more than 4 x 864 = 3456 and less than 5 x 864 = 4320. The answer 3888 falls between them, as expected. Units stay in km throughout.
Convert to half-hours: 4 h 30 min is 9 half-hours, and each half-hour covers 432 km, so 432 x 9 = 3888 km, the same result.
Standards · min grade 4
4.OA.A.2Multiply or divide to solve word problems involving multiplicative comparison — Using the per-hour distance as the unit amount and scaling it to find the half-hour distance.4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Combining the whole-hour and half-hour distances into the total.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Computing 864 x 4 for the whole hours.
An airplane travels in one hour. If it flies at the same speed for hours and minutes, find how many it can travel.
Show solution
Understand
An airplane flies 652 km every hour at a steady speed. Find how far it travels in 7 hours and 30 minutes.
- The airplane travels 652 km in one hour
- The speed stays the same
- The flying time is 7 hours and 30 minutes
- The total distance in km
- 30 minutes is half of one hour, so the time is 7 and a half hours
- Distance equals the per-hour amount times the number of hours
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
Distance is a rate problem: km-per-hour times hours gives km. Tracking the unit 'km in one hour' as the per-unit amount and recognizing 30 minutes as half an hour lets us split the trip into 7 full hours plus a half hour.
Execute
Review
In 7 and a half hours the distance should be a bit more than 7 x 652 = 4564 and less than 8 x 652 = 5216. The answer 4890 falls between them, as expected. Units stay in km throughout.
Convert to half-hours: 7 h 30 min is 15 half-hours, and each half-hour covers 326 km, so 326 x 15 = 4890 km, the same result.
Standards · min grade 4
4.OA.A.2Multiply or divide to solve word problems involving multiplicative comparison — Using the per-hour distance as the unit amount and scaling it to find the half-hour distance.4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Combining the whole-hour and half-hour distances into the total.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Computing 652 x 7 for the whole hours.
An airplane travels in one hour. If it flies at the same speed for hours and minutes, find how many it can travel.
Show solution
Understand
An airplane flies 548 km every hour at a steady speed. Find how far it travels in 5 hours and 30 minutes.
- The airplane travels 548 km in one hour
- The speed stays the same
- The flying time is 5 hours and 30 minutes
- The total distance in km
- 30 minutes is half of one hour, so the time is 5 and a half hours
- Distance equals the per-hour amount times the number of hours
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
Distance is a rate problem: km-per-hour times hours gives km. Tracking the unit 'km in one hour' as the per-unit amount and recognizing 30 minutes as half an hour lets us split the trip into 5 full hours plus a half hour.
Execute
Review
In 5 and a half hours the distance should be a bit more than 5 x 548 = 2740 and less than 6 x 548 = 3288. The answer 3014 falls between them, as expected. Units stay in km throughout.
Convert to half-hours: 5 h 30 min is 11 half-hours, and each half-hour covers 274 km, so 274 x 11 = 3014 km, the same result.
Standards · min grade 4
4.OA.A.2Multiply or divide to solve word problems involving multiplicative comparison — Using the per-hour distance as the unit amount and scaling it to find the half-hour distance.4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Combining the whole-hour and half-hour distances into the total.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Computing 548 x 5 for the whole hours.
An airplane travels in one hour. If it flies at the same speed for hours and minutes, find how many it can travel.
Show solution
Understand
An airplane flies 684 km every hour at a steady speed. Find how far it travels in 6 hours and 30 minutes.
- The airplane travels 684 km in one hour
- The speed stays the same
- The flying time is 6 hours and 30 minutes
- The total distance in km
- 30 minutes is half of one hour, so the time is 6 and a half hours
- Distance equals the per-hour amount times the number of hours
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
Distance is a rate problem: km-per-hour times hours gives km. Tracking the unit 'km in one hour' as the per-unit amount and recognizing 30 minutes as half an hour lets us split the trip into 6 full hours plus a half hour.
Execute
Review
In 6 and a half hours the distance should be a bit more than 6 x 684 = 4104 and less than 7 x 684 = 4788. The answer 4446 falls between them, as expected. Units stay in km throughout.
Convert to half-hours: 6 h 30 min is 13 half-hours, and each half-hour covers 342 km, so 342 x 13 = 4446 km, the same result.
Standards · min grade 4
4.OA.A.2Multiply or divide to solve word problems involving multiplicative comparison — Using the per-hour distance as the unit amount and scaling it to find the half-hour distance.4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Combining the whole-hour and half-hour distances into the total.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Computing 684 x 6 for the whole hours.
An airplane travels in one hour. If it flies at the same speed for hours and minutes, find how many it can travel.
Show solution
Understand
An airplane flies 594 km every hour at a steady speed. Find how far it travels in 5 hours and 30 minutes.
- The airplane travels 594 km in one hour
- The speed stays the same
- The flying time is 5 hours and 30 minutes
- The total distance in km
- 30 minutes is half of one hour, so the time is 5 and a half hours
- Distance equals the per-hour amount times the number of hours
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
Distance is a rate problem: km-per-hour times hours gives km. Tracking the unit 'km in one hour' as the per-unit amount and recognizing 30 minutes as half an hour lets us split the trip into 5 full hours plus a half hour.
Execute
Review
In 5 and a half hours the distance should be a bit more than 5 x 594 = 2970 and less than 6 x 594 = 3564. The answer 3267 falls between them, as expected. Units stay in km throughout.
Convert to half-hours: 5 h 30 min is 11 half-hours, and each half-hour covers 297 km, so 297 x 11 = 3267 km, the same result.
Standards · min grade 4
4.OA.A.2Multiply or divide to solve word problems involving multiplicative comparison — Using the per-hour distance as the unit amount and scaling it to find the half-hour distance.4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Combining the whole-hour and half-hour distances into the total.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Computing 594 x 5 for the whole hours.
An airplane travels in one hour. If it flies at the same speed for hours and minutes, find how many it can travel.
Show solution
Understand
An airplane flies 786 km every hour at a steady speed. Find how far it travels in 4 hours and 30 minutes.
- The airplane travels 786 km in one hour
- The speed stays the same
- The flying time is 4 hours and 30 minutes
- The total distance in km
- 30 minutes is half of one hour, so the time is 4 and a half hours
- Distance equals the per-hour amount times the number of hours
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
Distance is a rate problem: km-per-hour times hours gives km. Tracking the unit 'km in one hour' as the per-unit amount and recognizing 30 minutes as half an hour lets us split the trip into 4 full hours plus a half hour.
Execute
Review
In 4 and a half hours the distance should be a bit more than 4 x 786 = 3144 and less than 5 x 786 = 3930. The answer 3537 falls between them, as expected. Units stay in km throughout.
Convert to half-hours: 4 h 30 min is 9 half-hours, and each half-hour covers 393 km, so 393 x 9 = 3537 km, the same result.
Standards · min grade 4
4.OA.A.2Multiply or divide to solve word problems involving multiplicative comparison — Using the per-hour distance as the unit amount and scaling it to find the half-hour distance.4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Combining the whole-hour and half-hour distances into the total.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Computing 786 x 4 for the whole hours.
An airplane travels in one hour. If it flies at the same speed for hours and minutes, find how many it can travel.
Show solution
Understand
An airplane flies 470 km every hour at a steady speed. Find how far it travels in 4 hours and 30 minutes.
- The airplane travels 470 km in one hour
- The speed stays the same
- The flying time is 4 hours and 30 minutes
- The total distance in km
- 30 minutes is half of one hour, so the time is 4 and a half hours
- Distance equals the per-hour amount times the number of hours
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
Distance is a rate problem: km-per-hour times hours gives km. Tracking the unit 'km in one hour' as the per-unit amount and recognizing 30 minutes as half an hour lets us split the trip into 4 full hours plus a half hour.
Execute
Review
In 4 and a half hours the distance should be a bit more than 4 x 470 = 1880 and less than 5 x 470 = 2350. The answer 2115 falls between them, as expected. Units stay in km throughout.
Convert to half-hours: 4 h 30 min is 9 half-hours, and each half-hour covers 235 km, so 235 x 9 = 2115 km, the same result.
Standards · min grade 4
4.OA.A.2Multiply or divide to solve word problems involving multiplicative comparison — Using the per-hour distance as the unit amount and scaling it to find the half-hour distance.4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Combining the whole-hour and half-hour distances into the total.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Computing 470 x 4 for the whole hours.
An airplane travels in one hour. If it flies at the same speed for hours and minutes, find how many it can travel.
Show solution
Understand
An airplane flies 916 km every hour at a steady speed. Find how far it travels in 2 hours and 30 minutes.
- The airplane travels 916 km in one hour
- The speed stays the same
- The flying time is 2 hours and 30 minutes
- The total distance in km
- 30 minutes is half of one hour, so the time is 2 and a half hours
- Distance equals the per-hour amount times the number of hours
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
Distance is a rate problem: km-per-hour times hours gives km. Tracking the unit 'km in one hour' as the per-unit amount and recognizing 30 minutes as half an hour lets us split the trip into 2 full hours plus a half hour.
Execute
Review
In 2 and a half hours the distance should be a bit more than 2 x 916 = 1832 and less than 3 x 916 = 2748. The answer 2290 falls between them, as expected. Units stay in km throughout.
Convert to half-hours: 2 h 30 min is 5 half-hours, and each half-hour covers 458 km, so 458 x 5 = 2290 km, the same result.
Standards · min grade 4
4.OA.A.2Multiply or divide to solve word problems involving multiplicative comparison — Using the per-hour distance as the unit amount and scaling it to find the half-hour distance.4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Combining the whole-hour and half-hour distances into the total.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Computing 916 x 2 for the whole hours.
An airplane travels in one hour. If it flies at the same speed for hours and minutes, find how many it can travel.
Show solution
Understand
An airplane flies 838 km every hour at a steady speed. Find how far it travels in 3 hours and 30 minutes.
- The airplane travels 838 km in one hour
- The speed stays the same
- The flying time is 3 hours and 30 minutes
- The total distance in km
- 30 minutes is half of one hour, so the time is 3 and a half hours
- Distance equals the per-hour amount times the number of hours
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
Distance is a rate problem: km-per-hour times hours gives km. Tracking the unit 'km in one hour' as the per-unit amount and recognizing 30 minutes as half an hour lets us split the trip into 3 full hours plus a half hour.
Execute
Review
In 3 and a half hours the distance should be a bit more than 3 x 838 = 2514 and less than 4 x 838 = 3352. The answer 2933 falls between them, as expected. Units stay in km throughout.
Convert to half-hours: 3 h 30 min is 7 half-hours, and each half-hour covers 419 km, so 419 x 7 = 2933 km, the same result.
Standards · min grade 4
4.OA.A.2Multiply or divide to solve word problems involving multiplicative comparison — Using the per-hour distance as the unit amount and scaling it to find the half-hour distance.4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Combining the whole-hour and half-hour distances into the total.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Computing 838 x 3 for the whole hours.
An airplane travels in one hour. If it flies at the same speed for hours and minutes, find how many it can travel.
Show solution
Understand
An airplane flies 732 km every hour at a steady speed. Find how far it travels in 3 hours and 30 minutes.
- The airplane travels 732 km in one hour
- The speed stays the same
- The flying time is 3 hours and 30 minutes
- The total distance in km
- 30 minutes is half of one hour, so the time is 3 and a half hours
- Distance equals the per-hour amount times the number of hours
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
Distance is a rate problem: km-per-hour times hours gives km. Tracking the unit 'km in one hour' as the per-unit amount and recognizing 30 minutes as half an hour lets us split the trip into 3 full hours plus a half hour.
Execute
Review
In 3 and a half hours the distance should be a bit more than 3 x 732 = 2196 and less than 4 x 732 = 2928. The answer 2562 falls between them, as expected. Units stay in km throughout.
Convert to half-hours: 3 h 30 min is 7 half-hours, and each half-hour covers 366 km, so 366 x 7 = 2562 km, the same result.
Standards · min grade 4
4.OA.A.2Multiply or divide to solve word problems involving multiplicative comparison — Using the per-hour distance as the unit amount and scaling it to find the half-hour distance.4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Combining the whole-hour and half-hour distances into the total.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Computing 732 x 3 for the whole hours.