Problema Solution

A truck can be rented from company A for $110 a day plus $0.30 per mile. Company B charges $40 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 compan A and company B are the same.

Answer provided by our tutors

let 'x' be the number of miles in a day


company A will charge $110 a day plus $0.30*x for x miles: 110 + 0.30*x


company B will charge $40 a day plus $0.80*x for x miles: 40 + 0.80*x


rental costs for company A and company B are the same:


110 + 0.30*x = 40 + 0.80*x


x = 140 miles


the rental costs for company A and company B are the same for 140 miles in a day.