Speed, Distance and Time Problems
Written by Adi Ackerman, Head Teacher
"Speed, Distance and Time Problems" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.RP.A.3.B. If your student is a year younger but already steady on ratios, the page still works. You may just need to read the instructions out loud. And if they are older and rates and unit rates never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: solve 4 speed, distance and time problems like a train going 210 miles in 4 hours. Answer key included. Part of our rates and unit rates ratios collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with Find the Unit Rate so dividing for 1 unit is familiar before the better buy and comparison pages. Use the unit analysis pages last, and have students write the units with every answer, such as feet per second.
What students will practice
- Students will use d = r times t to find speed, distance or time in 4 problems.
- Students will divide to find time, such as 1,350 miles at 450 miles per hour.
- Students will write decimal answers, such as 52.5 miles per hour and 57.5 seconds.
Curriculum Links
Common Core State Standards
Ratios and Proportional Relationships · 6th Grade
Standard: Solve unit rate problems including those involving unit pricing and constant speed.
View all 6.RP.A.3.B worksheets →Find this in the curriculum
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FAQ
How do I use this rates and unit rates worksheet?
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Start with Find the Unit Rate so dividing for 1 unit is familiar before the better buy and comparison pages. Use the unit analysis pages last, and have students write the units with every answer, such as feet per second.
What does this worksheet teach?
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Solve 4 speed, distance and time problems like a train going 210 miles in 4 hours. The directions on the page read: Solve each problem. Show your work in the work space. Write decimal answers, not fractions. An answer key is included.
Can I use this rates and unit rates worksheet for homeschool or classroom?
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Yes, both. We made it for 6th Grade ratios, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with rates and unit rates. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How do you find a unit rate?
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Divide the first quantity by the second. Ava drove 186 miles in 3 hours, so 186 ÷ 3 = 62 miles per hour. A hose that fills a 150-liter tank in 8 minutes flows 18.75 liters per minute.
How do you find the better buy?
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Find the unit price of each package by dividing the price by the number of units, then pick the lower one. Cereal at 12 oz for $3.48 is $0.29 per oz and 18 oz for $4.99 is $0.28 per oz, so the larger box is the better buy.
How do you convert a rate with unit analysis?
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Multiply by a conversion factor written as a fraction so the old unit cancels. 120 feet per minute × (1 minute over 60 seconds) = 2 feet per second.
Why is a percent a rate?
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A percent is a rate per 100. On a hundred grid each square is 1 percent, so 37 shaded squares are 37%, 37/100 or 0.37.
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