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. Write an eq

Question 165417: 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.
Write an equation to find the value for the time it takes Juan to travel to work?

Found 2 solutions by checkley77, stanbon:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
22x=32(2.25-x)
22x=72-32x
22x+32x=72
54x=72
x=72/54
x=1.333 is the travel time for the trip to work @ 22 mph.
2.25-1.333=.917 hours for the return trip @ 32 mph.
Proof:
22*1.333=32*.917
29.33~29.34
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
Write an equation to find the value for the time it takes Juan to travel to work?
------------------------------
To-work DATA:
rate = 22 mph ; distance = x miles ; time = d/r = x/22 hrs.
-------------------------------
From-work DATA:
rate = 32 mph ; distance = x miles ; time = d/r = x/32 hrs.
----------------------------------
EQUATION:
time + time = 9/4 hrs
x/22 + x/32 = 9/4
32x + 22x = (9/4)*32*22
54x = 1584
x = 29 1/3 miles
------------------------
Time to get to work:
[29 1/3 miles]/22 hrs = 1 1/3 hours or 1 hr 20 minutes
===============
Cheers,
Stan H.
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