A tourist starts along a path of total length L. He finds that in half the time allotted he has covered a distance of only L/3. This gives him an average speed of V₁. To complete the tour on schedule, his average speed for the remainder of the tour must be A) 2 V_1. D) We have insufficient information to determine the answer unambiguously.

Question

A tourist starts along a path of total length L. He finds that in half the time allotted he has covered a distance of only L/3. This gives him an average speed of V₁. To complete the tour on schedule, his average speed for the remainder of the tour must be A) < 2 V₁. B) = 2 V_1. C) > 2 V_1. D) We have insufficient information to determine the answer unambiguously.

Quizplus · Accepted Answer

The average speed for the entire tour must be L/t, where t is the total time allotted. Since the tourist has covered L/3 in half the time, the average speed for the first half of the tour is V₁ = L/2t. Therefore, the average speed for the second half of the tour must be 2V₁ in order to complete the tour on schedule.

A Tourist Starts Along a Path of Total Length L