Every day a person walks at a constant speed, $$V_1$$ for 30 minutes. On a particular day, after walking for 1

Question

Every day a person walks at a constant speed, $V_1$ for 30 minutes. On a particular day, after walking for 10 minutes at $V_1$ , he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, $V_2$ , in another 30 minutes. On that day, find the ratio of $V_2$ and his average speed (i.e., total distance covered /total time taken including resting time).

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Accepted Answer

1:1. The man walks with a speed of V1 for 30 minutes. => Distance covered = 30*V1. On a particular day, he walks for 10 minutes at V1, takes a rest of 5 minutes, and then covers the distance by walking at V2 for 30 minutes. => 10*V1 + 30*V2 = 30*V1 20*V1 = 30*V2 V1 = 1.5V2---------(1) => Total d