Relative running time

CMAT 2020 · Quantitative Techniques & Data Interpretation · Medium · Speed Time Distance

X and Y are running towards each other from their houses. X can reach Y's house in 25 minutes which is half the time taken by Y to run from his house to X's house. If the two start to run towards each other at the same time, then how much more time it will be required by Y to reach the middle of houses ?

  1. A.

    18 min.

  2. B.

    25 min.

  3. C.

    50 min.

  4. D.

    12.5 min.

Answer

D

Explanation

Time taken by X to cover full distance = 25 minutes. Time taken by Y to cover full distance = 50 minutes.

Time taken by Y to reach the midpoint = 502=25\frac{50}{2} = 25 minutes. Time taken by X to reach the midpoint = 252=12.5\frac{25}{2} = 12.5 minutes.

Additional time required by Y compared to X to reach the middle = 25−12.5=12.525 - 12.5 = 12.5 minutes.

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