Crossing count on a circular track

CMAT 2018 · Quantitative Techniques & Data Interpretation · Medium · Time Speed Distance

Ankush and Babulal walk around circular track. They start at 9 a.m. from the same point in the opposite directions. Ankush and Babulal walk at a speed of 3 rounds per hour and 5 rounds per hour respectively. How many times shall they cross each other until 10.30 a.m.?

  1. A.

    9

  2. B.

    10

  3. C.

    12

  4. D.

    11

Answer

C

Explanation

Since they move in opposite directions, relative speed = 3+5=83 + 5 = 8 rounds per hour. Time duration from 9:00 a.m. to 10:30 a.m. = 1.5 hours. Total crossings = Relative speed ×\times Time = 8×1.5=128 \times 1.5 = 12 times.

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