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. how do i do this equation?

Solution

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