Question

a truck can be rented from company A for $60 a day plus .60 per mile. Company B charges $40 a day plus .70 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for a company A and company B are the same

Answer 1

200 miles

Explanation:

To find the number of miles in a day at which the rental costs for Company A and Company B are the same, you can set up an equation where the total cost for both companies is equal:

Let x be the number of miles in a day.

For Company A:

Cost A = $60 (daily rate) + $0.60 (per mile) * x

For Company B:

Cost B = $40 (daily rate) + $0.70 (per mile) * x

Now, we want to find when Cost A equals Cost B:

$60 + $0.60x = $40 + $0.70x

To solve for x, first subtract $40 from both sides of the equation:

$60 - $40 + $0.60x = $0.70x

$20 + $0.60x = $0.70x

Now, subtract $0.60x from both sides:

$20 = $0.10x

To isolate x, divide both sides by $0.10:

x = $20 / $0.10

x = 200

So, the rental costs for Company A and Company B are the same when the number of miles driven in a day is 200 miles.