Jane drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Jane drove home, there was no traffic and the trip only took 7 hours. If her average rate was 18 miles per hour faster on the trip home, how far away does Jane live from the mountains?
Solution
On the way to the mountains
d = ? v = ? t = 10 hours
d = 10v
On the way home
d = ? v + 18 t = 7 hours
d = (v + 18) x 7
The distance the house is from the mountains is the same, so we can set the two equation equal to each other
10v = (v+18) x 7
10v = 7v + 126
10v - 7v = 126
3v = 126
v = 126/3 = 42
d = (v + 18) x 7
d = (42 + 18) x 7
d = 60 x 7
d = 420
Jane lives 420 miles away from the mountains
Jan 20, 20 05:26 PM
Hourly to salary calculator- Convert your income to a yearly salary or a monthly salary
Basic math formulas
Algebra word problems
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.