Question

Two trains are running in opposite directions towards each other with speeds of 54 kmph and 48 kmph respectively. If the length of the train is 250 m and they cross each other in 18 seconds, the length of the other train is

• A. 145 m
• B. 230 m
• C. 260 m
• D. 180 m

Answer 1

The correct option is C 260 m

$\text{Relative speed}=(54+48)kmph=(102\times \frac{5}{18})m/sec=\left(\frac{85}{3}\right)m/sec\text{Let the length of the other train be}x\text{metres.}Then,(250+x)\times \frac{3}{85}=18or750+3x=1530orx=260m\therefore \text{The length of the other train is 260 m.}$