Question 16

Two trains are moving in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then what is the speed (in km/hr) of each train?

Solution

Length of both trains = $$120+120=240$$ m

Let speed of each train = $$x$$ m/s

The trains are moving in opposite directions, thus relative speed = $$(x+x)=2x$$ m/s

Using, speed = distance/time

=> $$2x=\frac{240}{12}=20$$

=> $$x=\frac{20}{2}=10$$

$$\therefore$$ Speed of each train (in km/hr) = $$10\times\frac{18}{5}=36$$ km/hr

=> Ans - (A)

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