Algebra Worksheet
Distance, Rate, Time Word Problems
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Distance, Rate, Time Word Problems |
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This worksheet includes 8 Distance-Rate-Time word problems.
A few problems include a table to help students set-up the correct equation and solve.
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Sample Problems from Worksheet (diagrams not shown) |
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Distance, Rate, Time Problems
1. Leaving from her house, Mary leaves Pittsburgh in her car traveling towards Cleveland
at 3 PM. She travels at an average rate of 30 mi/h. Mary’s brother Jack leaves the
house an hour later and follows the same route as Mary. He travels at an average
rate of 60 mi/h. How long will it take Jack to catch up to Mary?
2. A train leaves the train station at 1 PM traveling at an average rate of 60 mi/h.
A second train leaves the same station an hour later. It travels at a rate of 96
mi/h. How long will it take the second train to catch up to the first?
4. Suppose you hike up a hill at a rate of 4 mi/h. You hike back down the hill at
6 mi/h. The total time you spent on the hiking trip was 3 hours. How much time did
it take you to hike up the hill?
5. Jane and Peter leave their home traveling in opposite directions on a straight
road. Peter drives 15 mi/h faster than Jane. After 3 hours, they are 225 miles apart.
Find Peter’s rate and Jane’s rate.
8. An express train and a local train start out from the same point at the same
time and travel in opposite directions. The express train travels twice as fast
as the local train. If after 4 hours they are 480 miles apart, what is the average
speed of each train?
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