Question

A truck can be rented from company a for $ 60 a day plus $ 0.20 per mile. company b charges $ 30 a day plus $ 0.70 per mile to rent the same truck. how many miles must be driven in a day to make the rental cost for company a a better deal than company b's?

Answer 1

60+.2x=30+.7x
30=.5x
x=60 miles

Answer 2

If x is the total miles driven, all you need to do is find the equations of total money spent for each company and set them equal to each other. The cost of company A will be better than B when x miles are driven. So,

60 + 0.2x = 30 + 0.7x

60 - 30 = 0.7x - 0.2x

30 = 0.5x

30/0.5 = x

60 = x

So 60 miles need to be driven for company A to be a better deal than company B