Problem-Solving and Data AnalysisMediumConstant rate over a new time
Problem-Solving and Data Analysis practice question
A train travels 180 miles in 3 hours at a constant speed. At the same speed, how many miles does it travel in 7.5 hours?
Answer: 450
First find the rate: 180 miles / 3 hours = 60 miles per hour. Then apply it to the new time: 60 × 7.5 = 450 miles.
Common wrong answers
- If you answered 24
- 24 is 180 / 7.5, dividing the original distance by the new time. The new distance is the rate (60 mph) times the new time.
- If you answered 60
- 60 is the speed in miles per hour, a necessary step — but the question asks for the distance covered in 7.5 hours, so multiply 60 by 7.5.
- If you answered 540
- 540 is 180 × 3, multiplying the given distance by the given time. The rate is distance DIVIDED by time, 60 mph, and then 60 × 7.5 = 450.
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