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Two stations P and Q are 240 km apart on a straight line. One train starts from P at 4 p.m. and travels towards 15 kmph. Another train starts from Q at 5 p.m. and travels towards P at a speed of 30 kmph. At what time will they meet?

Two stations P and Q are 240 km apart on a straight line. One train starts from P at 4 p.m. and travels towards 15 kmph. Another train starts from Q at 5 p.m. and travels towards P at a speed of 30 kmph. At what time will they meet? Correct Answer 10 p.m.

GIVEN:

Distance between the two stations are 240 km

One train starts from P at 4p.m. and travels at the speed of 15 kmph.

Another train starts from Q at 5p.m. travel at the speed of 30 kmph.

CALCULATION:

Let them meet x hours after 4 pm.

Distance covered by P in x hours = 20x km.

Distance covered by Q in (x - 1) hours = 25 (x - 1) km.

15x + 30 (x - 1) = 240

⇒ 45x = 270

⇒ x = 6

Time = 4 p.m + 6 = 10 p.m

∴ They meet at 10 p.m.

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