Question

A train passes a platform in 54 seconds. The same train passes a pole near the end of the platform in 30 seconds. If the speed of the train is 81 kmph, what is the length of the platform?

• A. 900 meter
• B. 960 meter
• C. 1050 meter
• D. 945 meter
• E. None of these

Answer 1

The correct option is E

None of these

Speed of the train = 81 km/hr = (81$\times$5)/18 m/s = 22.5 m/s

Length of the train = speed $\times$ time taken to cross the man = 22.5$\times$30 = 675 m

Let the length of the platform = L

Time taken to cross the platform = (675+L)/22.5 => (675+L)/22.5 = 54

=> 675+L = 22.5$\times$54 = 1215

=> L = 1215 - 675 = 540 meters