Question

A truck can be rented from Company A for ​$120 a day plus ​$0.20 per mile. Company B charges ​$80 a day plus ​$0.40 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

Let the truck is driven X miles per day

Charges of company A will be = 90+0.4X

Charges of company B will be =30+0.7X

Let us find out value of X when charges of both companies are same

which means that 90+0.4 X= 30+0.7X

90-30 = 0.7X-0.4X

60 = 0.3X

60/0.3 = X

X= 200

The charges of both companies will be same if truck is driven 200 miles per day

Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B)

Explanation: