SOLUTION: Julie drives 110 mi to Grandmother's house. On the way to Grandmother's, Julie drives half the distance at 25 mph and half the distance at 85 mph. On her return trip, she drives ha

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Question 607642: Julie drives 110 mi to Grandmother's house. On the way to Grandmother's, Julie drives half the distance at 25 mph and half the distance at 85 mph. On her return trip, she drives half the time at 25 mph and half the time at 85 mph.
Part A
How long does it take Julie to complete the trip to Grandmother's house? ( I got this far and the answer is t = 2.8h )
Part B
How long does the return trip take? ( This is where I need help )

Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Julie drives 110 mi to Grandmother's house.
On the way to Grandmother's, Julie drives half the distance at 25 mph and half the distance at 85 mph.
On her return trip, she drives half the time at 25 mph and half the time at 85 mph.
:
Part B
How long does the return trip take?
:
Let 2t = time required for the return trip
:
Write a distance equation; dist = speed * time
:
25t + 85t = 110
110t = 110
t = 1 hrs
therefore
2 hrs to make the return trip

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Julie drives 110 mi to Grandmother's house. On the way to Grandmother's, Julie drives half the distance at 25 mph and half the distance at 85 mph. On her return trip, she drives half the time at 25 mph and half the time at 85 mph.
Part A
How long does it take Julie to complete the trip to Grandmother's house? ( I got this far and the answer is t = 2.8h )
------------------
Avg speed = 2*25*85/(25 + 85)
t = d/r = 110/avg
t = 2.847 hours

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