Question
A train started from station P and preceded towards
station Q at a speed of 90 km/h. 42 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 443 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 = 90 x 42/60 km Distance travelled by train started from station Q = (90 + 100) x t km Total distance between station P and Q = 443 km Now, 90 x (42/60) + (90 + 100) x t = 443 ⇒ 90 + 190t = 443 ⇒ 190t = 443 – 63 = 380 ⇒ t = 380/190 = 2 hours Distance travelled by train starting from station P at all meeting point = 63 + 90 x 2 = 243 km
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