SOLUTION: Jane rides her bike to lake Junaluska. Going to the lake, she averages 12 mph. On the return, she averages 10 mph hour. The round trip takes 5.5 hours, how long does the return tri

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Question 543142: Jane rides her bike to lake Junaluska. Going to the lake, she averages 12 mph. On the return, she averages 10 mph hour. The round trip takes 5.5 hours, how long does the return trip take?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Going to the lake, she averages 12 mph.
On the return, she averages 10 mph hour.
The round trip takes 5.5 hours, how long does the return trip take?
:
Find the distance first, they we can easily find the time of the return trip
:
Let d = the one-way distance
:
Write a time equation; time = dist/speed
:
To time + return time = 5.5 hrs
d%2F12 + d%2F10 = 5.5
Clear the denominators, multiply by 60
60*d%2F12 + 60*d%2F10 = 60(5.5)
Cancel the denominators, and we have:
5d + 6d = 330
11d = 330
d = 330/11
d = 30 miles
:
Find the return time:
30%2F10 = 3 hrs
:
:
Check solution by finding the total time
30%2F12 + 30%2F10 =
2.5 + 3 = 5.5