Two trains start from P and Q respectively and travel towards each other at a speed of 50 *km/hr* and 40 *km/hr* respectively. By the time they meet, the first train has travelled 100 *km* more than the second. The distance between P and Q is:

- A.
**500***km* - B.
**630***km* - C.
**900***km* - D.
**660***km***Ans**: C.

Sol.

At the time of meeting, let the distane travelled byb the second train be*x*km. Then,

distance covered by the first train is (x + 100)*km*

∴*x*/40 = (*x*+100)/50**⇔**50*x*= 40*x*4000**⇔***x*= 400.

So, distance between P and Q = (*x*+*x*+100)*km*= 900*km*.

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