SOLUTION: Emily put on her jogging shoes and trotted to the park at 6 miles per hour. Then she raced back at 10 miles per hour. If the total trip took 4 4/5 hrs, how far was it to the park?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Emily put on her jogging shoes and trotted to the park at 6 miles per hour. Then she raced back at 10 miles per hour. If the total trip took 4 4/5 hrs, how far was it to the park?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 449653: Emily put on her jogging shoes and trotted to the park at 6 miles per hour. Then she raced back at 10 miles per hour. If the total trip took 4 4/5 hrs, how far was it to the park?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the park at 6 miles per hour.
Then she raced back at 10 miles per hour.
If the total trip took 4 4/5 hrs, how far was it to the park?
:
Let d = dist to the park
:
Change 44%2F5 to 4.8 hrs
:
Write a time equation: time = dist/speed
:
To time + return time = 4.8 hr
:
d%2F6 + d%2F10 = 4.8
multiply by 30, results
5d + 3d = 30(4.8)
8d = 144
d = 144%2F8
d = 18 mi to the park
:
:
See if the times add up:
18/6 + 18/10 =
3 + 1.8 = 4.8 hrs