Question

Super Cars Rental Company charges a $40 fee and $1.80 per mile to rent a car. ABC Rental Company charges a $25 fee and $3 per mile. At how many miles is the cost the same for both companies?
a 3.1 miles
b 12.5 miles
c 13.5 miles
d 54.2 miles

Answer 1

Solution :-

Let us assume that, at x miles the cost is same for both companies .

so,

→ fixed price of Super Cars Rental Company + x * rate per mile = fixed price of ABC Rental Company + x * rate per mile .

putting given values we get,

→ 40 + 1.8x = 25 + 3x

→ 3x - 1.8x = 40 - 25

→ 1.2x = 15

→ x = 12.5 miles (Ans.b)

Hence, for 12.5 miles the cost is same for both companies .

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