Question 56

A train 500 m long, running at a uniform speed, passes a station in 35 sec. If the length of the platform is 221 m, the speed of the train in km/hr is

Solution

Let speed of train = $$x$$ m/sec

Length of train = 500 m and length of platform = 221 m

Using, speed = distance / time

=> $$x=\frac{(500+221)}{35}$$

=> $$x=\frac{721}{35}=\frac{103}{5}$$ m/sec

$$\therefore$$ Speed of train (in km/hr) = $$\frac{103}{5} \times \frac{18}{5}$$

= $$74.16$$ km/hr

=> Ans - (B)

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