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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 9 hours, train ‘B’ has travelled 130 km more than train ‘A’. Find the distance travelled by train ‘A’ in 12 hours if distance between both stations is 184 km.

A 35 km Correct Answer Incorrect Answer
B 19 km Correct Answer Incorrect Answer
C 36 km Correct Answer Incorrect Answer
D 20 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 + 130’ km According to question; x + x + 130 = 184 => 2x = 54 => x = 27 Distance travelled by train ‘A’ in 9 hours = 27 km Speed of train ‘A’ = 27/9 = 3 km/h Distance travelled by train ‘A’ in 12 hours = 12 × 3 = 36 km

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