Miscellaneous Question 99
- 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}$.