Question

A truck can be rented from Company A for $40 a day plus $0.7 per mile. Company B charges $20 a day plus $0.9 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.

Answer 1

• 100 miles

Explanation:

Let the number of miles be x.

Company A

Total amount of rental is:

• A = 40 + 0.7x

Company B

Total amount of rental is:

• B = 20 + 0.9x

Since A = B, substitute the values and solve the equation:

• 40 + 0.7x = 20 + 0.9x
• 0.9x - 0.7x = 40 - 20
• 0.2x = 20
• x = 20/0.2
• x = 100