Two trains, one fast and one slow, depart from city X to city Y simultaneously. When the fast train has completed 3/4 of the journey, the slow train is 240 km away from city Y. By the time the fast train reaches city Y, the slow train has managed to cover 5/6 of the total distance. What is the distance between city X and city Y?

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280 km

360 km

480 km

Correct

560 km

720 km

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Official Explanation

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When the fast train arrives at city Y, the slow train has covered 5/6 of the distance. This indicates that the slow train travels 5/6 as far as the fast train during the same time period, meaning the slow train's speed is 5/6 of the fast train's speed. Let the total distance between the two cities be 'D'. When the fast train has covered 3/4 of that distance, which is (3D/4) km, the slow train…

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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.