Sunday, July 28, 2013

A train passes a pole in 10 secs & a bridge of length 2km in 110 secs. What is its speed?

While train is passing
pole


Let length of train
=x


Length of pole is
negligible


=> Total
distance=x


Time = 10
secs


=> Speed = Distance/Time= x/10
m/s


While train is passing
station


Total distance = x + 2000
metre


Time = 110 sec


Speed =
(x + 2000)/110


Assuming the  speed of train to be
constant


=> x/10 =
(x+2000)/110


=> 11x =
x+2000


=> 11x -x =
2000


=> x = 2000/10 = 200
metres


=> Speed = x/10 =
200/10


=> Speed = 20 m/s

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