Question

A truck can be rented from company A for $130 a day plus $0.20 per mile. Company B charges $50 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

Answer 1

200 miles

Explanation:

Company A

• Daily charge = $130
• Per mile = $0.20
• x miles per day = 130 + 0.2x

Company B

• Daily charge = $50
• Per mile = $0.60
• x miles per day = 50 + 0.6x

Assume x miles that makes same amount for both options, then:

• 130 + 0.2x = 50 + 0.6x
• 0.6x - 0.2x = 130 - 50
• 0.4x = 80
• x = 80/0.4
• x = 200 miles