A train is moving at unified speed of 72 kmph. If length of train is 280 meters, then find the time taken by train to cross platform of length 220 meters:
1). 25 seconds
2). 28 seconds
3). 32 seconds
4). 72 seconds
Length of train = 280 meters.
Speed of train = 72 kmph
$(= \frac{{72 \times 1000}}{{3600}}\;{\rm{m}}/{\rm{s}})$
= 20 m/s
As train crosses platform distance covered by train is equal to sum of length of platform and length of train.
∴ Total distance covered by train while crossing platform = 280 + 220
∴ Total distance covered by train while crossing platform = 500 meters.
Time taken by train to cover 500 meters = $(\frac{{Distance\;covered}}{{speed\;of\;train}})$
Time taken by train to cover 500 meters = 500/20 = 25 sec
∴ Train takes 25 seconds to cross platform.