Let x = time in hours
Since their costs must be the same,
100 + 15x = 75 + 17x
Solving,
100 - 75 = 17x - 15x
25 = 2x
x = 25/2 or 12.5 hours
Hope this helps~ :3
Since their costs must be the same,
100 + 15x = 75 + 17x
Solving,
100 - 75 = 17x - 15x
25 = 2x
x = 25/2 or 12.5 hours
Hope this helps~ :3
note that it's also 36 mi/hr
Let's define "x" as the number of hours required for the job.
For the first company, the total cost can be calculated by adding the base charge of $100 with the hourly rate of $15 multiplied by the number of hours: 100 + 15*x.
For the second company, the total cost can be calculated similarly: 75 + 17*x.
Since we want to find the number of hours that results in the same cost for both companies, we can set up an equation equating the two costs:
100 + 15*x = 75 + 17*x.
To solve for x, let's simplify the equation:
15*x - 17*x = 75 - 100,
-2*x = -25.
Dividing both sides of the equation by -2, we get:
x = -25 / -2,
x = 12.5.
The result is x = 12.5 hours. Therefore, the job would cost the same amount regardless of which company is used if it takes 12.5 hours to complete.