P and Q are 27 km away. Two trains will having speeds of

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P and Q are 27 km away. Two trains will having speeds of 24 km/h and 18 km/h respectively starts simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Distance QR is

1. 126 km
2. 81 km
3. 48 km
4. 36 km

Correct Option: B

If the trains meet after t h.
Relative speed of train = (24 -18) = 6 km/h
⇒ Distance = 27
∴ t = 27/6 = 9/2 h
∴ QR distance travel by train which is travelling at a speed of 18 km/h = 18t = 18 x 9/2 = 81 km