Juan traavels 22mihr to work and 32mihr back home It takes h

Juan traavels 22mi/hr to work and 32mi/hr back home. It takes him a total of 2 hrs and 15 minutes for the total drive. I need to find an equation on how much time it takes Juan to go to work and come back home.

Solution

t1+t2=2.25 hrs (we\'ll deal in hours)------------------------eq1
We also know the following:
Distance to work=22t1
Distance back to home=32t2
We know that the above two distances are equal, so:
22t1=32t2 or
11t1=16t2---------------------eq2

Now from eq2, we see that t2=(11/16)t1 and t1=(16/11)t2; First, substitute t2=(11/16)t1 into eq1 and we get:
t1+(11/16)t1=2.25hr (Note: 11/16 = 0.6875)
t1+0.6875t1=2.25
1.6875t1=2.25 Equation for the time it takes Juan to go to work
Next, substitute t1=(16/11)t2 into eq1 and we get:
(16/11)t2+t2=2.25 (Note:16/11 = 1.455)
t2+1.455t2=2.25
2.455t2=2.25----equation for the time it takes Juan to get home
CK
1.6875t1=2.25
t1=1.33333 hours
2.455t2=2.25
t2=0.9165 hr
1.33333hrs+0.9165hrs=about 2.25hrs