Juan drives to work Because of traffic conditions he average

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?

Solution

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