Question
The distance between two points 'P' and 'Q' is 2,400 km.
Karan and Mohit can cover the distance between 'P' and 'Q' in 40 hours and 32 hours, respectively. If Karan and Mohit start from point 'P' at 7:00 AM and 9:00 AM, respectively, then at what time and distance from point 'P' will they meet each other?Solution
ATQ, Speed of Karan = (2,400/40) = 60 km/h Speed of Mohit = (2,400/32) = 75 km/h Distance covered by Karan in 2 hours (from 7:00 AM to 9:00 AM) = 60 X 2 = 120 km Relative speed of Mohit w.r.t. that of Karan = 75 - 60 = 15 km/h Time taken by them to meet each other = (120/15) = 8 hours So, required time = 9:00 AM + 8 hours = 5:00 PM Required distance = 75 X 8 = 600 km
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