Good problem on motion in one dimension

[prathyush.kulkarni]

PLEASE SOLVE THIS WITHOUT USING THE CALCULUS

a man starts walking from a point P. after t seconds another man starts from the same point. they reach the nearer end af a bridge such that the time interval between them is T seconds. the length of the bridge is L meters.
they reach the other end of the bridge simultaneously. assuming that their path is a straight line, they are not accelerating and they walk in the same direction, find the ratio of their speeds.

 

[robphy]

Suggestion: first, draw a position vs time graph of their motion... and label key features using your data. Use this and some knowledge of "the equations of a line" to write down an algebraic expression for the ratio you seek.