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.
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