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The distance P and Q is 9755 m. Two buses A and B start from P and Q respectively towards each other. The speed of bus A and B is 30 m/s and 25 m/s respectively. Bus B started at 2 p.m. from Q towards P and after 5 minutes, Bus A started from P towards Q. Find the time at which both the buses will meet.

The distance P and Q is 9755 m. Two buses A and B start from P and Q respectively towards each other. The speed of bus A and B is 30 m/s and 25 m/s respectively. Bus B started at 2 p.m. from Q towards P and after 5 minutes, Bus A started from P towards Q. Find the time at which both the buses will meet. Correct Answer 41 s

Given:

The distance P and Q is 9755 m. Two buses A and B start from P and Q respectively towards each other. The speed of bus A and B is 30 m/s and 25 m/s respectively. Bus B started at 2 p.m. from Q towards P and after 5 minutes, Bus A started from P towards Q

Formula used:

Distance = speed × time

Calculation:

B started at 2 pm.

In 5 minutes = 300 seconds, distance it covered = 25 × 300 = 7500 m

⇒ Remaining distance = 9755 – 7500 = 2255 m

Relative speeds of A and B = (30 + 25) m/s = 55 m/s

Time taken for them to meet = 2255/55 = 41 s

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