SOLUTION: Jaun drives to work. Because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total travel time is 2 1/4 hours. Wtie and solve

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Question 345156: Jaun drives to work. Because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total travel time is 2 1/4 hours. Wtie and solve and equation to find the time Jaun spends driving to work.
someone please please please help me.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Juan drives to work. Because of traffic conditions, he averages 22 miles per hour.
He returns home averaging 32 miles per hour.
The total travel time is 2 1/4 hours.
Write and solve an equation to find the time Juan spends driving to work.
:
change 2 1/4 hrs to 2.25 hrs
:
Let t = time required driving to work
then
(2.25-t) = time required returning from work
:
Both trips are equal distances, write a dist equation: dist = speed * time
:
22t = 32(2.25-t)
22t = 72 - 32t
22t + 32t = 72
54t = 72
t = 72%2F54
t = 11%2F3 hrs time to work at 22 mph
:
:
you can confirm this, find the distances using
22*1.33 =
32(2.25-1.33) =
they should be about equal