Question
"Train A departs from Delhi towards Jammu at 5:20 am,
traveling at an average speed of 22.5 m/s. Meanwhile, Train B leaves from Jammu towards Delhi at 7:40 am with an average speed of 20 m/s. If the distance between Delhi and Jammu is 954 km, at what time will the two trains meet?"Solution
ATQ, Speed of Train A = 22.5 × (18/5) = 81 km/h Speed of Train B = 20 × (18/5) = 72 km/h Distance covered by Train A till 7:40 am = 81 × (7/3) = 189 km Remaining distance to be travelled by Train A to reach Jammu = 954 – 189 = 765 km Relative speed of the trains = 81 + 72 = 153 km/h Time taken by the trains to meet each other after 7:40 am = 765/153 = 5 hours So, the two trains will meet each other at 7:40 + 5:00 = 12:40 pm
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