ABC26GN3893 · Problems on Trains
Subject: General Aptitude · Chapter: Problems on Trains · Exam: 2003 · Marks: · Difficulty:
A train 125 m long passes a man, running at 5 kmph in the same direction in which the train is going, in 10 seconds. The speed of the train is:
(a)45 km / hr
(b)50 km / hr
(c)54 km / hr
(d)55 km / hr
Answer
Explanation
Speed of the train relative to man $$\begin{aligned} & =\left(\frac{125}{10}\right) \mathrm{m} / \mathrm{sec}=\left(\frac{25}{2}\right) \mathrm{m} / \mathrm{sec} \\ & =\left(\frac{25}{2} \times \frac{18}{5}\right) \mathrm{km} / \mathrm{hr}=45 \mathrm{km} / \mathrm{hr} . \end{aligned}$$ Let the speed of the train be $x \mathrm{kmph}$. Then, relative speed $$=(x-5) \mathrm{kmph} . \therefore x-5=45 \text { or } x=50 \mathrm{kmph} .$$
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