Question

You need to rent a moving truck for a day. You have identified two companies that rent trucks. Company A charges $45 per day plus $0.10 per mile. Company B charges $25 per day plus $0.30 per mile. For how many miles will the cost of renting be the same?

Answer 1

Let's call the number of miles driven "m". The total cost of renting a truck from Company A will be:

Cost_A = 45 + 0.1m

The total cost of renting a truck from Company B will be:

Cost_B = 25 + 0.3m

To find the point at which the costs are the same, we need to set the two expressions equal to each other:

45 + 0.1m = 25 + 0.3m

Simplifying:

20 = 0.2m

Dividing both sides by 0.2:

m = 100

Therefore, the costs of renting from Company A and Company B will be the same if the truck is driven for 100 miles.