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Start the planFor a particular model of moving truck, rental agency \(A\) charges a daily fee of \(m\) dollars, plus \(n\) cents per mile. For the same model of truck, rental agency \(B\) charges a daily fee of \(p\) dollars, plus \(q\) cents per mile. If a driver plans to rent this model of truck for two days, which of the following expressions gives the number of miles this driver must drive for the two rental agencies’ total charges to be equal?
(A) \(\dfrac{100(m-p)}{q-n}\)
(B) \(\dfrac{200(p-m)}{n-q}\)
(C) \(\dfrac{50(m-p)}{q-n}\)
(D) \(\dfrac{2(p-m)}{n-q}\)
(E) \(\dfrac{m-p}{2(q-n)}\)
[spoiler]OA=B[/spoiler]
Source: Manhattan GMAT
(A) \(\dfrac{100(m-p)}{q-n}\)
(B) \(\dfrac{200(p-m)}{n-q}\)
(C) \(\dfrac{50(m-p)}{q-n}\)
(D) \(\dfrac{2(p-m)}{n-q}\)
(E) \(\dfrac{m-p}{2(q-n)}\)
[spoiler]OA=B[/spoiler]
Source: Manhattan GMAT
