A tourist starts along a path of total length L at an average speed of V₁. At the halfway point (in distance), he finds that he has used two-thirds of the time allotted for the tour. To complete the tour on schedule, his average speed for the remainder of the tour must be A) 2 V₁. D) We have insufficient information to determine the answer unambiguously.

Question

A tourist starts along a path of total length L at an average speed of V₁. At the halfway point (in distance), he finds that he has used two-thirds of the time allotted for the tour. To complete the tour on schedule, his average speed for the remainder of the tour must be A) < 2 V₁. B) = 2 V₁. C) > 2 V₁. D) We have insufficient information to determine the answer unambiguously.

Quizplus · Accepted Answer

The tourist has used two-thirds of the time allotted for the tour at the halfway point, so he has one-third of the time remaining. To complete the tour on schedule, he must travel the remaining distance in one-third of the time. This means that his average speed for the remainder of the tour must be three times his original average speed, or 2V1.

A Tourist Starts Along a Path of Total Length L