At the cycle track

Algebra Level 3

On a circular cycle track there are two cyclists gong at constant speeds.When they go in opposite directions, they meet every 10 seconds;when they go in the same direction, one catches up with the other every 170 seconds.Find the speed of each cyclist if the circular track is 170 meters long.

NOTE:If the speed of each cyclist is a and b respectively, then find the value of a+b.

Give your answer in meters per second.

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