SOLUTION: Jane rides her bike to the lake. Going to the lake, she averages 12mph. On the return trip,she averages 10mph. If the round trip takes a total of 5.5 hours, how long does the re

Question 310791: Jane rides her bike to the lake. Going to the lake, she averages 12mph. On the return trip,she averages 10mph. If the round trip takes a total of 5.5 hours, how long does the return trip take?
Found 2 solutions by josmiceli, checkley77:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Going to lake:

Returning from lake:

given:
mi/hr
mi/hr
hrs
--------------------
Going to lake:

Returning:

I can set the right sides equal to eachother

hrs
hrs
hrs
The return trip takes 3 hrs
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
D=12T
D=10(5.5-T)
THE DISTANCES ARE EQUAL THUS THE EQUATIONS ARE EQUAL
12T=10(5.5-T)
12T=55-10T
12T+10T=55
22T=55
T=55/22
T=55/22=5/2=2.5 HOURS FOR THE 12 MPH TRIP.
5.5-2.5=3 HOURS FOR THE 10MPH TRIP.
PROOF:
12*2.5=10*3
30=30

RELATED QUESTIONS
Jane rides her bike to lake Moultrie. Going to the lake she averages 12mph. On the return (answered by Alan3354)
Jane rides her bike to Lake Moultrie. Going to the lake she averages 12mph. On the return (answered by Alan3354)
Jane rides her bike to lake Junaluska. Going to the lake, she averages 12 mph. On the... (answered by ankor@dixie-net.com)
Raymond takes a road trip from Sacramento, CA to South Lake Tahoe, CA. He follows the... (answered by josmiceli)
Jenny traveled to the lake and back. On the trip there she traveled 80 km/h and on the... (answered by ankor@dixie-net.com)
Lisa traveled to her cabin on the lake and back. the trip there took five hours and the... (answered by josmiceli,lmeeks54)
Going to the lake, has a mean speed of 12 mph. On the return trip the mean speed is 10... (answered by addingup)
A woman can hike 1 mph. faster down a trail to Cochita Lake than she can on the return... (answered by Theo)
A woman can hike 1 mph faster down a trail to Fire Lake than she can on the return trip... (answered by Boreal)