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. how do i do

Question 261457: 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. how do i do this equation?
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Let the time taken to go from home to office = x hours
Let the time taken to return from office to home = y hours
Total time x+y = 2 1/4 hours
x+y = 9/4 ...(1)
The distances in both ways are equal
22x = 32y
22x-32y = 0 ...(2)
(1)*32=> 32x+32y = 72 ...(3)
(2)+(3)=> 54x = 72
x = 72/54
x = 4/3 hours
(1)=> 4/3+y = 9/4
y = 9/4-4/3
y = (27-16)/12
y = 11/12 hour
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