A train with 90 km hr crosses a bridge in 36 seconds Another train 100 metres shorter crosses the sa...........

Quantitative Aptitude ( CCS) Time & distance

A train with 90 km/hr crosses a bridge in 36 seconds. Another train 100 metres shorter crosses the same bridge at 45 km/hr. What is the time taken by second train to cross the bridge?

61 second

63 seconds

62 second

64 seconds

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Explanation:

Let the distance of bridge be 'x'.
let the length of the first train be 'y'.
Then distance travelled by first train =x+y.
hence (x+y) =90×(5/18)×36
=25×36
=900 metres.
Give length of second train =y-100
length of bridge i same as above
Then total distance travelled by second one= x+(y-100)=45×(5/18)×t
x+y =25/2×t+100
by substituting above equation
900=25/2×t+100
800=25/2×t
t = 1600/25
t= 64 seconds.

Hence, option 4 is the correct answer.