Miscellaneous Question 99

  1. A 360 metre long train takes 4.5 seconds to cross the pole. The same train takes 6 seconds to cross a car moving in the same direction. What is the speed of the car? (in $km / hr$ )

(1) 60

(2) 72

(3) 84

(4) 96

(5) 50

(IBPS RRBs Officer CWE Prelim Exam, 13.09.2020)

Show Answer

Correct Answer: 99. (2)

Solution: 99. (2) Speed of train

Length of train $=\frac{360}{4.5}=80 \mathrm{m} / \mathrm{sec}$.

Let, speed of car $=x $ $\mathrm{m} / \mathrm{sec}$.

Train and car are moving in the same direction.

$\therefore$ Relative speed

$=(80-x)$ $ \mathrm{m} / \mathrm{sec}$.

$\therefore 80-x=\frac{360}{6}=60$

$\Rightarrow x=80-60=20 $ $\mathrm{m} / \mathrm{sec}$.

$=\left(20 \times \frac{18}{5}\right)$ $ \mathrm{kmph}$.

$=72$ $ \mathrm{kmph}$.