A traveler goes from Town X to Town Y at a speed of 70 miles/hr and makes the return trip to Town X at a speed of 50 miles/hr. If the total time for the round trip was 12 hours, what is the distance between Town X and Town Y?

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140

280

350

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360

420

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Official Explanation

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A traveler goes from Town X to Town Y at a speed of 70 miles/hr and returns to Town X at a speed of 50 miles/hr. The total time for the round trip is 12 hours. To find the distance between Town X and Town Y, we can denote the distance as D. The total time for the round trip is represented as 2D. For the first half of the trip, the time taken is

\frac{D}{70}

hours, and for the…

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Comments

AditiFeb 19, 2024

thank you very much!

christianApr 3, 2024

thanks for the answer

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.