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Two men A and B walk from P to Q, a distance of 21 km, at 3 and 4 km an hour respectively. B reaches Q, returns immediately and meets A at R. The distance from P to R is

Question

Two men A and B walk from P to Q, a distance of 21 km, at 3 and 4 km an hour respectively. B reaches Q, returns immediately and meets A at R. The distance from P to R is

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Solution

Let's solve this step by step:

  1. First, we need to find out the time taken by B to reach Q. The distance from P to Q is 21 km and B's speed is 4 km/h. So, the time taken by B to reach Q is Distance/Speed = 21/4 = 5.25 hours.

  2. In this time, A would have covered a distance with his speed. A's speed is 3 km/h. So, the distance covered by A in 5.25 hours is SpeedTime = 35.25 = 15.75 km.

  3. Therefore, the distance from P to R where A and B meet is 15.75 km.

This problem has been solved

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