A train departs from City X to City Y at a steady speed of 75 miles per hour and makes the return trip from City Y to City X at a steady speed of 50 miles per hour. The total duration for the round trip is 6 hours. What is the one-way distance between City X and City Y in miles?

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300 miles

225 miles

180 miles

Correct

150 miles

90 miles

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Official Explanation

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A train travels from City X to City Y at a constant speed of 75 miles per hour and returns from City Y to City X at a constant speed of 50 miles per hour. The total travel time for the round trip is 6 hours. The time taken from X to Y is

\frac{x}{75}

and from Y to X is

\frac{x}{50}

. Therefore, the total time taken…

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Comments

AashrithApr 19, 2024

thanks a lot

DianaMar 10, 2024

thanksss

What this question tests

What it tests

Your application of distance = rate × time to trains, boats, and commuters, including relative speed.

Common trap

Mixing units (miles per hour vs. minutes) or averaging speeds — average speed is total distance over total time.