Bill drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Bill
drove home, there was no traffic and the trip only took 5 hours. If his average rate was 18 miles per hour faster on the
trip home, how far away does Bill live from the mountains?
Do not do any rounding.

Respuesta :

Answer: 315 miles

Step-by-step explanation:

let onward speed = x mph, then distance = 7x

return speed = (x+18) mph, (same) distance = 5(x+18)

equating the two,

7x = 5(x+18)

2x = 90 ==> x = 45 mph

so distance = 7*45 = 315 miles