Sachin, Saurav and Sehwag started running on a circular track of length
2400 m at the same time from the same point with constant speeds 45
km/hr, 15 km/hr and 35 km/hr respectively. While, Sachin and Sehwag
are running in same direction, Saurav is running in the opposite
direction. How many complete rounds have Sehwag covered while they
meet for the 1st time?
Answers
Given : Sachin, Saurav and Sehwag started running on a circular track of length 2400 m at the same time from the same point with constant speeds 45 km/hr, 15 km/hr and 35 km/hr respectively. While, Sachin and Sehwag
are running in same direction, Saurav is running in the opposite direction.
To Find : How many complete rounds have Sehwag covered while they
meet for the 1st time
Solution:
Track length = 2400 m = 2.4 km
Sachin speed = 45 km/hr
Sehwag speed = 35 km/hr
Relative speed = 10 km/hr
Time After which they meet = ( 2.4/10) = 0.24 hr = 14.4 mins
Sachin 45 km /hr
Saurav 15 km /hr in oppsite direction
Meet after = (2.4/(45 + 15)) = 2.4 min
Sehwag 35 km /hr
Saurav 15 km /hr in oppsite direction
Meet after = (2.4/(35 + 15)) = 2.88 min
LCM of 2.4 , 2.88 & 14.44
= 14.4 mins
Distance covered by Sehwag = 35 * 14.4/60 = 8.4 km
8.4/2.4 = 3.5
Hence 3 complete round covered by Sehwag
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