Question

Quick movers charges $50 a day and $0.50 per mile . ABC movers charges $45 a day and $0.75 a mile at how many miles Is the cause the same for both companies?

Answer 1

At 20 miles both companies cost will be same.

Explanation:

Let Number of miles be 'x'.

Given:

Quick movers charges $50 a day and $0.50 per mile .

So we can say Total charge is equal to sum of per day charge plus number of miles multiplied by cost of per mile.

framing in equation form we get;

Quick movers charges =
`50+0.5x`

Also Given:

ABC movers charges $45 a day and $0.75 per mile .

So we can say Total charge is equal to sum of per day charge plus number of miles multiplied by cost of per mile.

framing in equation form we get;

ABC movers charges =
`45+0.75x`

We need to find the number of miles at which both companies cost are are same.

Solving to find the same we get;

`50+0.5x=45+0.75x`

Combining like terms we get;

`0.75x-0.5x=50-45\\\\0.25x=5`

By Division property of equality we will divide both side by 0.25 we get;

`(0.25x)/(0.25) =(5)/(0.25) \\\\x= 20 \ miles`

Hence at 20 miles both companies cost will be same.