Question

A truck can be rented from company A for $50 plus $0.70 per mile. Company B charges $20 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

A) 60 miles
B) 70 miles
C) 80 miles
D) 90 miles

Answer 1

The number of miles required for rental cost to be the same is 300 miles.

Creating a system of equation for the scenario:

• Let x = number of miles

Company A :

• 0.7x + 50 ____(1)

Company B :

• 0.8x + 20 ____(2)

For cost to be the same

0.7x + 50 = 0.8x + 20

0.7x - 0.8x = 20 - 50

-0.1x = -30

x = 300

Hence, the number of miles required for rental cost to be the same is 300 miles.