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
Jul 06, 18 12:29 PM
Learn how to solve two types of logarithmic equations
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Jul 06, 18 12:29 PM
Learn how to solve two types of logarithmic equations
Our Top Pages
Formula for percentage
Compatible numbers
Basic math test
Basic math formulas
Types of angles
Math problem solver
Algebra word problems
Surface area of a cube
Finding the average
Scale drawings
Everything you need to prepare for an important exam!
K-12 tests, GED math test, basic math tests, geometry tests, algebra tests.
Real Life Math Skills
Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.