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A train travelling at a speed of 96 km/h crosses a post in 12 seconds and a platform in 30 seconds. What is the length of the platform?
Question

A train travelling at a speed of 96 km/h crosses a post in 12 seconds and a platform in 30 seconds. What is the length of the platform?

A.

540m

B.

640m

C.

450m

D.

480m

Correct option is D

Given:

speed of train = 96 km\hr

time taken by train cross post = 12 sec

 time taken by train cross platform = 30sec

Formula Used:

distance = speed ×\times time

solution:

speed of train = 96 km\hr

length of train = speed ×\times​ time

                        = 96×1000×123600\frac{96\times 1000\times 12}{3600}​  

                     =320meter

length of platform and train =   speed ×\times  time

                                           = 96×1000×303600\frac{96\times 1000\times 30}{3600}

                                            =800meters

so length of platform =   length of platform and train  - length of train

                                        =800-320

  so length of platform  =480 meters

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