Tim and Rick both can run at speed and walk at speed , with . They set off together on a journey of distance . Rick walks half of the distance and runs the other half. Tim walks half of the time and runs the other half.

In terms of given quantities, by what amount of time, delta t , does Tim beat Rick?
It will help you check your answer if you simplify it algebraically and check the special case .
Express the difference in time, in terms of V_w, V_r and D.

So far ive gotten t_rick = (D/2)((1/V_w)+(1/V_r))
and t_tim = (D/2)(1/(V_w + V_r))

Question

Tim and Rick both can run at speed and walk at speed , with . They set off together on a journey of distance . Rick walks half of the distance and runs the other half. Tim walks half of the time and runs the other half.

In terms of given quantities, by what amount of time, delta t , does Tim beat Rick?
It will help you check your answer if you simplify it algebraically and check the special case .
Express the difference in time, in terms of V_w, V_r and D.

So far ive gotten t_rick = (D/2)((1/V_w)+(1/V_r))
and t_tim = (D/2)(1/(V_w + V_r))