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Question 123
A train crosses a 300 metre long platform in 38 seconds while it crosses a signal pole in 18 seconds. What is the speed of the train in kmph ?
Solution
Let the length of the train be $$l$$ metre and speed of the train be $$x$$ m/s
=> $$\frac{l}{s} = 18$$
=> $$l = 18s$$
Also, $$\frac{l + 300}{s} = 38$$
=> $$18s + 300 = 38s$$
=> $$20s = 300$$
=> $$s = \frac{300}{20} = 15$$ m/s
$$\therefore$$ Speed of train in kmph = $$15 \times \frac{18}{5}$$
= 54 kmph
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