What distance are the 2 companies the same price? What is the price? Pete's charges .40 per mile and a flat fee of $68, Pat is .65 per mile and a $23 fee

Question

Thanks for helping me.

Answer 1

Pete=68+0.4m where m is the distance in miles and Pat=23+0.65m.

Pete=Pat when 68+0.4m=23+0.65m; 45=0.25m and m=180 miles.

Pete=68+72=$140=23+117=Pat.

Answer 2

What distance are the 2 companies the same price? What is the price? Pete's charges .40 per mile and a flat fee of $68, Pat is .65 per mile and a $23 fee

This looks lie a car rental scheme, a basic rate plus so much per mile, and you want to know the distance travelled by either car such that the cost of Pet's scheme is the same as the cost of Pat's scheme, as well as that Price.

Let s be the distance (in miles) travelled by either car.

Pete's cost: $68 + 0.40 * s

Pat's cost: $23 + 0.65 * s

Since Pet's cost = Pay's cost, then

68 + 0.40s = 23 + 0.65s

68 - 23 = 0.65s - 0.40s

45 = 0.25s

s = 45/0.25 = 180

s = 180

Cost = 68 + 0.40*180 = 68 + 72 = 140, or

Cost = 23 + 0.65* 180 = 23 + 117 = 140

Answer: The cost of both schemes is the same after travelling 180 miles, and is $140