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