Question

A truck can be rented from Company A for ​$80 a day plus ​$0.40 per mile. Company B charges ​$40 a day plus ​$0.60 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.

At____​miles, the rental costs are the same from either company.

Answer 1

• 200 miles

Explanation:

Let the required miles be x

Rental for Company A

• 80 + 0.4x

Rental for Company B

• 40 + 0.6x

Rental costs are equal when:

• 80 +0.4x = 40 + 0.6x
• 0.6x - 0.4x = 80 - 40
• 0.2x = 40
• x = 40/0.2
• x = 200 miles