Question:medium

Anil, Sunil, and Ravi run along a circular path of length 3 km, starting from the same point at the same time, and going in the clockwise direction. If they run at speeds of 15 km/hr, 10 km/hr, and 8 km/hr, respectively, how much distance in km will Ravi have run when Anil and Sunil meet again for the first time at the starting point?

Updated On: Jan 15, 2026
  • 4.2
  • 5.2
  • 4.8
  • 4.6
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The Correct Option is C

Solution and Explanation

To ascertain the distance Ravi completes before Anil and Sunil reunite at the starting line, we must first determine the duration until their reunion.

The circuit measures 3 km. Anil's velocity is 15 km/hr, and Sunil's velocity is 10 km/hr.

Step 1: Compute the relative velocity.
Given their concurrent movement in the same direction,
Relative velocity = $|15 - 10| = 5$ km/hr.

Step 2: The time for their reunion at the starting point is calculated as:
Time = $\frac{\text{Circuit Length}}{\text{Relative Velocity}} = \frac{3}{5} = 0.6$ hours.

Step 3: Calculate the distance covered by Ravi during this period.
Ravi's velocity = 8 km/hr
Distance = Velocity × Time = $8 \times 0.6 = 4.8$ km

Consequently, Ravi will have covered 4.8 km when Anil and Sunil rendezvous at the starting point.

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