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 10 hours, train ‘B’ has travelled 233 km more than train ‘A’. Find the distance travelled by train ‘A’ in 7 hours if distance between both stations is 573 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 + 233’ km According to question; x + x + 233 = 573 => 2x = 340 => x = 170 Distance travelled by train ‘A’ in 10 hours = 170 km Speed of train ‘A’ = 170/10 = 17 km/h Distance travelled by train ‘A’ in 7 hours = 7 × 17 = 119 km
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