Brain and Jared live in the same apartment comlex and both bike to and from work every day. The figure above shows a typical commute home for each of them. Based on the figure, which of the following statemetns is true ?

Options

A. It takes Brain longer to bike home because his work is farther away.
B. It takes Jared longer to bike home because his work is farther away.
C. Jared and Brain arrive home at the same time, so they must bike at about the same rate.
D. Jared bikes a longer distance than Brain in the same amount of time, so Jared must bike at a faster rate.

Answer

D

Explanation

Consider each choice systematically, using the numbers on the figure to help you evaluate each statement.
It takes Brian and jared each 20 minutes to bick home, so (A) and (B) are false. Jared bikes 5 miles in 20 minutes, while Brian only bikes 2 miles in 20 minutes, their rates are not the same, so (C ) is false. This means (D) must be true. Jared starts out farther away than Brain, so Jared must bike at a faster rate to arrive home in the same amount of time.