a train crosses a platform 90 m long in 30 seconds and a man standing on the platform in 15 seconds find the speed of the train.
solve it...in detail
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1
Answer:
Let the speed of the train be x m/sec and length of the train be y m. Then,
Speed of the train
Length of the train
= Time taken by the train to pass the man
⇒
x
y
=15⇒y=15x ......... (1)
and
Speed of train
Length of train + Length of platform
= Time taken by the train to cross the platform
⇒
x
y+90
=30⇒y+90=30x ........ (2)
Put the value of y from (1) in (2)
15x+90=30x⇒15x=90⇒x=6m/sec
∴ Speed of train =(6×
5
18
)km/hr=21.6km/hr.
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