Question
The distance between two points 'G' and 'H' is 2,700 km.
Piyush and Rohan can cover the distance between 'G' and 'H' in 54 hours and 45 hours, respectively. If Piyush and Rohan start from point 'G' at 6:00 AM and 9:00 AM, respectively, then at what time and distance from point 'G' will they meet each other?Solution
ATQ, Speed of Piyush = (2,700/54) = 50 km/h Speed of Rohan = (2,700/45) = 60 km/h Distance covered by Piyush in 3 hours (from 6:00 AM to 9:00 AM) = 50 X 3 = 150 km Relative speed of Rohan w.r.t. that of Piyush = 60 - 50 = 10 km/h Time taken by them to meet each other = (150/10) = 15 hours So, required time = 9:00 AM + 15 hours = 12:00 AM (midnight) Required distance = 60 X 15 = 900 km
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