A company is hiring a truck driver to deliver the company's product. Truck driver A charges an initial fee of $50 plus $7 per mile. Truck driver B charges an initial fee of $175 plus $2 per mile. Determine what mile the two trucks will be the same amount. How much will the amount be.

(a) 25 miles

(b) $225

Step-by-step explanation:

Let the price charged be P and distance be d

For truck A

P=7d+50

For truck B

P=2d+175

When two trucks charge the same, P for A and B are equal hence

7d+50=2d+175

Combining like terms

7d-2d=175-50

5d=125

d=125/5=25

The distance is 25 miles

The amount will be

For truck A

P=7 (25) + 50=$225

For truck B

P=2 (25) + 175=$225