SOLUTION: Juan drives to work, because of traffic conditions, he averages 22m/per hour. He returns home averaging 32 m/per hour. Total travel time= 2 and 1/4 hours. a) write expression for

Question 539485: Juan drives to work, because of traffic conditions, he averages 22m/per hour. He returns home averaging 32 m/per hour. Total travel time= 2 and 1/4 hours.
a) write expression for time Juan takes to return home
b) Write & solve an equation to find the time Juan spends driving to work
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Juan drives to work, because of traffic conditions, he averages 22m/per hour. He returns home averaging 32 m/per hour. Total travel time= 2 and 1/4 hours.
a) write expression for time Juan takes to return home
Find the distance by finding the average speed for the round trip
avg = 2*22*32/(22+32) mi/hr
avg = 1408/54 = 704/27 mi/hr
Round trip time = 2.25 hours
d = r*t = 176/3 miles
One-way = 88/3 miles
-------------
time = d/r = (88/3)/22 = 4/3 hours
b) Write & solve an equation to find the time Juan spends driving to work
time = d/r = (88/3)/32 = 11/12 hours
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