Question

Two trains ‘A’ and ‘B’ started from station ‘P’ and ‘Q’ towards station ‘Q’ and ‘P’ respectively at the same time. When they met after 11 hours, train ‘B’ has travelled 144 km more than train ‘A’. Find the distance travelled by train ‘A’ in 8 hours if distance between both stations is 408 km.

A 150 km Correct Answer Incorrect Answer
B 96 km Correct Answer Incorrect Answer
C 245 km Correct Answer Incorrect Answer
D 105 km Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let distance travelled by train ‘A’ at the time of meet = ‘x’ km So, distance travelled by train ‘B’ at the time of meet = ‘x + 144’ km According to question; x + x + 144 = 408 => 2x = 264 => x = 132 Distance travelled by train ‘A’ in 11 hours = 132 km Speed of train ‘A’ = 132/11 = 12 km/h Distance travelled by train ‘A’ in 8 hours = 12 × 8 = 96 km

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