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Two points are moving on the cycle in opposite directions. They meet each other after every 4 seconds. The length of the cycle is 100 meters, and one point is 5 m/sec faster than the other one. Find the speeds of the points.

 Apr 12, 2020
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Let speed of slower point = v m/s.  Distance it travels in 4 seconds: s1 = 4v m

Distance travelled by faster point in 4 seconds:  s2 = 4(v + 5) m

 

s1 + s2 = 100 m,  so  4v + 4(v + 5) = 100,  or v = 10m/s.  faster point speed = 15m/s

 Apr 12, 2020

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