Question 165417
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 an equation to find the value for the time it takes Juan to travel to work? 
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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 = 9/4 hrs
x/22 + x/32 = 9/4
32x + 22x = (9/4)*32*22
54x = 1584
x = 29 1/3 miles
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Time to get to work:
[29 1/3 miles]/22 hrs = 1 1/3 hours or 1 hr 20 minutes
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Cheers,
Stan H.