that will of course be x miles where
100+.60x = 50+.80x
100+.60x = 50+.80x
Let's denote the number of miles as "x".
For company A, the total cost can be calculated by adding the base daily rate and the cost per mile:
Total cost for company A = $100 (base daily rate) + $0.60 (cost per mile) * x (number of miles)
For company B, the total cost can be calculated in a similar way:
Total cost for company B = $50 (base daily rate) + $0.80 (cost per mile) * x (number of miles)
Now, let's set the two total costs equal to each other and solve for the number of miles:
$100 + $0.60x = $50 + $0.80x
Simplifying the equation:
$0.60x - $0.80x = $50 - $100
-$0.20x = -$50
Dividing both sides of the equation by -$0.20:
x = -$50 / -$0.20
x = 250
Therefore, the rental costs for company A and B are the same when the number of miles in a day is 250 miles.