Question 66

Bombay Express left Delhi for Bombay at 14.30 hrs, travelling at a speed of 60 kmph and Rajdhani Express left Delhi for Bombay on the same day at 16.30 hrs. travelling at speed of 80 kmph. How far away from Delhi will the two trains meet?

Solution

Distance travelled by Bombay Express in 2 hours = $$60\times2=120$$ km

Thus, at 16.30 hrs, the two trains are at a distance of 120 km from each other.

Travelling in same direction, relative speed = $$80-60=20$$ km/hr

=> Time taken by the trains to meet = $$\frac{120}{20}=6$$ hours

$$\therefore$$ Distance from Delhi when the trains meet = $$80\times6=480$$ km

[Note :- If we multiply the speed of Bombay Express, i.e. 60 km/hr, we need to keep in mind that it has already travelled 120 km (for 2 hours) in the beginning.]

=> Ans - (C)


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