SOLUTION: Sue walked to her school at 2 mph, picked up her bike and rode home at 10 mph. If her round trip took 1.5 hours, how far is the school form Sue's home

Algebra ->  Conversion and Units of Measurement -> SOLUTION: Sue walked to her school at 2 mph, picked up her bike and rode home at 10 mph. If her round trip took 1.5 hours, how far is the school form Sue's home       Log On


   

Question 195943: Sue walked to her school at 2 mph, picked up her bike and rode home at 10 mph. If her round trip took 1.5 hours, how far is the school form Sue's home
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the distance between her home and the school.
The time spent on the way to school is x/2
The time spent on the way from school to home is x/10.
As the total time is 1.5, we have
x%2F2+%2Bx%2F10=1.5
Solving the equation for x, we have
10%28x%2F2+%2Bx%2F10%29=1.5%2A10 multiply both sides by 10 to clear fractions
5x%2Bx=15
6x=15
x=15%2F6=5%2F2+=2.5