Question

A man is considering two companies from which to rent a truck. Triangle Truck Rental charges $35 per day and 50 cents a mile. Circle Rent-A-Truck charges $55 a day

and 30 cents a mile. How far would he need to drive in one day for the both companies to have the same total cost?

How many miles would he need to drive in the day?

____ miles

Answer 1

10 miles

Explanation:

Let's call the number of miles driven in a day "x". The total cost for Triangle Truck Rental can be expressed as:

Cost (Triangle) = $35 + 0.5x

The total cost for Circle Rent-A-Truck can be expressed as:

Cost (Circle) = $55 + 0.3x

We want to find the value of x such that Cost (Triangle) = Cost (Circle). So we can set the two expressions equal to each other and solve for x:

$35 + 0.5x = $55 + 0.3x

0.2x = $20

x = 100 miles

So the man would need to drive 100 miles in one day for both companies to have the same total cost.