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 15 hours, train ‘B’ has travelled 150 km more than train ‘A’. Find the distance travelled by train ‘A’ in 10 hours if distance between both stations is 555 km.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 + 150’ km According to question; x + x + 150 = 555 => 2x = 405 => x = 202.5 Distance travelled by train ‘A’ in 15 hours = 202.5 km Speed of train ‘A’ = 202.5/15 = 13.5 km/h Distance travelled by train ‘A’ in 10 hours = 10 × 13.5 = 135 km
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