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A train passes two bridges of length 800 m and 400 m in 100 seconds and 60 seconds respectively. The length of the train is:

a) 80 m
b) 90 m
c) 200 m
d) 150 m

Answer: c
Explanation: Let length of the train be x m and speed of the train is s kmph.
Speed, s = $$\frac{{x + 800}}{{100}}$$ . . . . . (i)
Speed, s = $$\frac{{x + 400}}{{60}}$$ . . . . . (ii)
Equating equation (i) and (ii), we get,
$$\frac{{x + 800}}{{100}}$$  = $$\frac{{x + 400}}{{60}}$$
5x + 200 = 3x + 2400
2x = 400
x = 200m

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