Aptitude:speed and distance [Section 1 of 1] Q25 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 05:34Select 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?
Question
Aptitude:speed and distance [Section 1 of 1] Q25 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 05:34Select 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?
Solution
The problem involves two people, A and B, walking at different speeds towards a common destination, and then one of them returning.
Here are the steps to solve the problem:
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First, calculate the time it takes for both A and B to reach Q. The time is given by the formula Time = Distance/Speed.
For A: Time = 21 km / 3 km/hr = 7 hours For B: Time = 21 km / 4 km/hr = 5.25 hours
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Since B reaches Q first and immediately returns, we need to calculate how far B travels back towards P in the remaining time (which is the time A is still walking towards Q).
Remaining time for A = 7 hours - 5.25 hours = 1.75 hours
Distance covered by B in this time = Speed * Time = 4 km/hr * 1.75 hours = 7 km
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The point R where B meets A is therefore 7 km from Q (since B has walked this distance back towards P).
So, the distance from P to R = Total distance from P to Q - Distance from Q to R = 21 km - 7 km = 14 km
So, the distance from P to R is 14 km.
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