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Question

Joey and Chandler both live in a same apartment but works at different places. They have to bike to and from work every day. The given figure represents a typical commute to home for both.
Which of the following is true, based on the information provided?

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

The correct option is D Chandler bikes a longer distance than Joey in the same amount of time, so Chandler must bike at a faster rate
The slope of chandler's line is more (the line is more steep) as compared to Joey. Now the slope of a distance vs tie graphs give the speed. Since the graphs are straight lines, hence they travel with uniform speed. Since the slope of chandler's line is more, hence chandler's vehicle is faster than Joey's.

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