A train running at the speed of 60 kmph crosses a 200 m long platform in 27 seconds. What is the length of… · ABC26GN3878
Subject: General Aptitude · Chapter: Problems on Trains · Exam: Bank Recruitment 2009
A train running at the speed of 60 kmph crosses a 200 m long platform in 27 seconds. What is the length of the train?
(a)200 metres
(b)240 metres
(c)250 metres
(d)450 metres
(e)None of these
Answer
Explanation
Speed $=\left(60 \times \frac{5}{18}\right) \mathrm{m} / \mathrm{sec}=\left(\frac{50}{3}\right) \mathrm{m} / \mathrm{sec}$. Time $=27 \mathrm{sec}$. Let the length of the train be $x$ metres. Then, $\frac{x+200}{27}=\frac{50}{3} \Leftrightarrow x+200=\left(\frac{50}{3} \times 27\right)=450$ $$\Leftrightarrow x=250 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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