B walks at a speed of 9 km/hr and 9 hours after his start, C starts on his…

2021

B walks at a speed of 9 km/hr and 9 hours after his start, C starts on his cycle after him at the speed of 18 km/hr. How far from the starting point will C catch B?

  1. A.

    144 km

  2. B.

    162 km

  3. C.

    198 km

  4. D.

    236 km

Attempted by 11 students.

Show answer & explanation

Correct answer: B

B walks for 9 hours at 9 km/hr, so B gets a head start of 81 km.

C cycles at 18 km/hr while B continues at 9 km/hr, so the relative speed is 9 km/hr.

Time to catch = 81 / 9 = 9 hours after C starts. Distance from start = 18 x 9 = 162 km.

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