Question

Review Correct Tim and Rick both can run at speed vr and walk at speed vw, with vrw. They set off together on a journey of distance D. Rick walks half of the distance and runs the other half. Tim walks half of the time and runs the other hal Part E n terms of given quantities, by what amount of time, At, does Tim beat Rick? It will help you check your answer if you simplity it algebraically and check the special case vr Express the difference in time, At in terms of vr, w, and D. At-(0.5 Correct Part F In the special case that v,-tiw, what would be Tim's margin of victory Δt (v,-vv)? View Available Hint(s) 0回 Submit

solve F

Answer 1

Running speed = v_t waling speed = v_omega total distance = D case I total time taken by Rick = D/2/V_omega + D/2/V_t = D/2 (1/V_omega + 1/V +_t) t_rick = D (v_omega + v_t)/2 V_omega V_t (1) case II suppose total time taken by time is so D = V_omega times t/2 + V_t times t/2 = t/2 (V_omega + V_t) t = 2D/V_omega + V_t (2) Delta t = equation (1) - equation (2) = > Detla t = 0.5 D (V_omega - V_t)^2/V_omega V_t (V_omega + V_t) (3) in case of V_omega = V_t we can see that from equation (1) Delta t = 0 they will reach at same time