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Select the correct answerTwo 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. Find the distance from P to R?Options22 km18 km19 km20 km

Question

Select the correct answerTwo 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. Find the distance from P to R?Options22 km18 km19 km20 km

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Solution

To solve this problem, we need to understand that the time both men are walking is the same, even though they walk at different speeds.

  1. First, we calculate the time it takes for B to reach Q. The distance is 21 km and B walks at a speed of 4 km/h. So, the time is distance/speed = 21/4 = 5.25 hours.

  2. This is also the time that A has been walking. A walks at a speed of 3 km/h. So, in 5.25 hours, A walks a distance of speedtime = 35.25 = 15.75 km.

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

However, none of the options match this result. There might be a mistake in the problem or the options provided.

This problem has been solved

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