Question

Leila drove to the mountains last weekend. There was heavy traffic on the way there and the trip took 7 hours. When Leila drove home, there was no traffic and the trip only took 4 hours. If her average rate was 27 miles per hour faster on the trip home, how far does Leila live from the mountains

Answer 1

We have the next formula

$d=r\cdot t$

where d is the distance, r is the rate and t is the time.

For the trip going

d=r*7

For the trip returning

d=(r+27)*4

Then we solve

7r=4r+108

We solve for r

7r-4r=108

3r=108

r=36

Then for d

d=36*7

d=252 miles

ANSWER

she lives 252 miles far from the mountains