Apex Car Rental company charges a flat fee of $40.00 per day plus $0.75 per mile to rent a car. Jason Car Rental company charges a flat fee of $64.00 per day plus $0.60 per mile to rent a car. If a car is rented for three days, at how many miles would the rental charges of the two companies be the same?
Correct answer: A. 480
- A. 480
- B. 450
- C. 420
- D. 380
Explanation
Let's denote the number of miles driven as x. The rental charges for Apex Car Rental would be: Flat fee: $40 x 3 = $120 Mileage charge: $0.75x Total rental cost for Apex Car Rental: $120 + $0.75x The rental charges for Jason Car Rental would be: Flat fee: $64 x 3 = $192 Mileage charge: $0.60x Total rental cost for Jason Car Rental: $192 + $0.60x Now, we want to find the number of miles where the rental charges for both companies are the same. $120 + $0.75x = $192 + $0.60x Simplifying this equation, we get: $0.15x = $72 x = 480 Therefore, the answer is A) 480. At 480 miles driven, the rental charges for both companies would be the same.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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