Miscellaneous Question 49
- Train-A, 300 metre long, crosses a vertical pole in 20 seconds. It overtakes Train-B, 450 metre long, travelling in the same direction as itself, in 150 seconds from the moment both trains meet. What is the speed of Train $ B$ ? (in metre/second)
(1) 5
(2) 25
(3) 10
(4) 20
(5) 15
(IBPS RRBs Officer CWE (Prelim Exam) $11.08 .2018)$
Show Answer
Correct Answer: 49. (3)
Solution: 49. (3) Speed of train - A
$=\frac{300}{20}=15$ metre $/$ second
Speed of train-B $=x$ metre/second
Relative speed
$=(15-x)$ metre/second
According to the question,
Relative speed= Total length of trains A and B Time taken in crossing
$\Rightarrow 15-x=\frac{300+450}{150}=\frac{750}{150}$
$\Rightarrow 15-x=5 \Rightarrow x=15-5$
$=10 $ $\mathrm{metre} / \mathrm{second}$
BETA
