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Question

Train ‘A’ running with a speed of 108 km/hr crosses a vertical pole in 10 seconds. Find the approx. time taken by the train ‘A’ to cross a train ‘B’ whose length is 120 metres less than that of train ‘A’ and whose speed is 1/12 more than that of train ‘A’ if both are running in opposite direction.

A 8 seconds Correct Answer Incorrect Answer
B 9 seconds Correct Answer Incorrect Answer
C 4 seconds Correct Answer Incorrect Answer
D 12 seconds Correct Answer Incorrect Answer
E 10 seconds Correct Answer Incorrect Answer

Solution

Speed of train ‘A’ = 108 × (5/18) = 30 m/sec
Length of train ‘A’ = 30 × 10 = 300 metres
Length of train ‘B’ = 300 – 120 = 180 metres
Speed of train ‘B’ = 30 + (30/12) = 32.5 m/sec
Required time taken = (300 + 180)/(30 + 32.5) = 7.68 = 8 seconds

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