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 travel time is 2 1/4 hours. a) Define

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Question 351314: 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.
a) Define a variable for the time Juan takes to travel to work. Write an expression for the time Juan takes to return home.
b) Write and solve an equation to find the time Juan spends driving to work.
Thank you!

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x=time TO work ___ so (9/4 - x)= time to return home

d = r * t ___ the distance is the same

22(x) = 32(9/4 - x)

22x = 72 - 32x