Brain and Jared live in the same apartment complex and they both bike to and from the work every day. The figure above shows a typical commute home for each of them. Based on the figure, which of the following statements is true?
A
It takes Brain longer to bike home because his work is farther away.
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B
It takes Jared longer to bike home because his work is farther away.
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C
Jared and Brain arrive home at the same time, so they must bike at about the same rate.
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D
Jared bikes a longer distance than Brain in the same amount of time, so Jared must bike at a faster rate.
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Solution
The correct option is D Jared bikes a longer distance than Brain in the same amount of time, so Jared must bike at a faster rate. ⇒ In the given figure we can see Jared's distance between workplace and the apartment is more than Brain's.
⇒ Jared takes the same time as Brain to travel that distance.
∴ Jared bikes a longer distance than Brain in the same amount of time, so Jared must bike at a faster rate.