Subject: General Aptitude · Chapter: Problems on Trains · Exam: 2002 · Marks: · Difficulty:
A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
(a)5 sec
(b)6 sec
(c)7 sec
(d)10 sec
Answer
Answer (as printed): B
Explanation
Speed of train relative to man $=(60+6) \mathrm{km} / \mathrm{hr}=66$ $$\begin{aligned} & \mathrm{km} / \mathrm{hr}=\left(66 \times \frac{5}{18}\right) \mathrm{m} / \mathrm{sec}=\left(\frac{55}{3}\right) \mathrm{m} / \mathrm{sec} \\ & \therefore \text { Time taken to pass the man }=\left(110 \times \frac{3}{55}\right) \mathrm{sec}=6 \mathrm{sec} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.