Problems on trains

Quantitative Aptitude(IBPS RRB PO)

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Train A crosses an electric pole in 18 seconds and train B crosses a man standing on a platform in 20 seconds. If the ratio of the speed of train A to B is 5:4, then find the time taken by train A to cross train B running in the same direction?

160 seconds

168 seconds

172 seconds

170 seconds

Cannot be determined

Explanation:

Length of train A = x
Length of train B = y
Speed of train A = 5z
Speed of train B = 4z
x = 5z * 5/18 * 18
x = 25z
y = 4z * 5/18 * 20
9y = 200z
Required time = (25z + 200z/9)/(z * 5/18)
= 170 seconds

By: Munesh Kumari

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