Hi, 

Let x represent time spent traveling to work

then (2.25hr - x) would be time remaining to travel home

distance the same both ways.  d = r*t

22x = 32(2.25hr - x)

22x = 32*2.25hrh - 32x

54x = 32*2.25hr

x = 32*2.25/54 hr

x = 1 1/3 hr, the time spent traveling to work



checking our answer

22*(4/3) = 32*11/12 = 88/3 

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