Question
A train started from station P and preceded towards
station Q at a speed of 84 km/h. 40 minutes later, another train started from station Q and preceded towards station P at 100 km/h. If the distance between the two stations is 792 km, at what distance from station P will the trains meet?Solution
Let the train will meet ‘t’ hours after the train from station Q started Distance travelled by train started from station P = 84 x 40/60 km Distance travelled by train started from station Q = (84 + 100) x t km Total distance between station P and Q = 792 km Now, 84 x (40/60) + (84 + 100) x t = 792 ⇒ 56 + 184t = 792 ⇒ 184t = 792 – 56 = 736 ⇒ t = 736/184 = 4 hours Distance travelled by train starting from station P at all meeting point = 56 + 84 x 4 = 392 km
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