SOLUTION: Juan drives to work. Because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total time traveled is 2 1/4 hours. a.

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Question 156508: Juan drives to work. Because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total time traveled is 2 1/4 hours.
a. write an expression for the time Juan takes to return home.
b. write and solve an equation for the time Juan spends driving to work.
Answer by stanbon(75887) 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 time traveled is 2 1/4 hours.
To work DATA:
rate = 22 mph ; distance = x miles; time = d/r = x/22 hrs
------------------------
Back to home DATA:
rate = 32 mph ; distance = x miles ; time = d/r = x/32 hrs
------------------------
EQUATION:
time + time = 2 1/4 hrs
x/22 + x/32 = 9/4
54x/(22*32) = 9/4
4*54x = 9*22*32
x = 29 1/3 miles
a. write an expression for the time Juan takes to return home.
b. write and solve an equation for the time Juan spends driving to work.
To work time:
x/22 = 88/3/22 = 4/3 hr = 1 hr 20 minutes
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Cheers,
Stan H.