Question 321874
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 and 1/4 hours.
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To work DATA: 
rate = 22 mph ; distance = x miles ; time = d/r = x/22 hrs
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From work DATA:
rate = 32 mph ; distance = x miles ; time = d/r = x/32 hrs
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Equation:
time + time = 2.25
x/22 + x/32 = 5/2 hr hrs
Multiply thru by 32*22 to get:
32x + 22x = 5*32*11
54x = 1760
x = 32.59 miles
Time to work = x/22 = 32.59/22 = 1.48 hrs
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Cheers,
Stan H.
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a. Define a variable for the time Juan takes to work. Write an expression for the time Juan takes to return home.
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b. Write and solve an equation to find the time Juan spends driving to work.