Question
A train takes 34 sec to cross the signal located at one
end of the 396 m long bridge. If the train takes 70 seconds to cross the bridge, then find the length of the train (in mtr).Solution
When the train crosses the signal, it covers only the length of the train. So, using the formula, speed of train = distance/time = x/34 When the train is crossing the bridge, it covers the train's length and the bridge's length. So, using the formula, speed of train = distance/time = (x + 396)/70 Since the speed of the train is constant, we can equate the two expressions for speed: (x + 396)/x = 70/34 Simplifying and solving for x, we get: (x + 396) x 34 = 70x 70x-34x =34 x 396 36x =34 x 396 x = 34 x 11 x = 374 Therefore, the length of the train is 374 meters.
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