Explanation

Rate is calculated by dividing the distance traveled by the time elapsed. Plug In to compare the two rates. If you plug in x= 4 and y = 2, the rate for trip A will be:
\(\frac{6(4)}{5(2)}=\frac{24}{10}=2.4\) mph and the rate for trip B will be: \(\frac{5(4)}{4(2)}=\frac{24}{10}=2.4\) mph; eliminate choices (A) and (C).

Any set of values will have a greater rate for trip B, so select choice B.
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