SOLUTION: You have a 25​-mile commute into work. Since you leave very​ early, the trip going to work is easier than the trip home. You can travel to work in the same time that it

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Question 1087707: You have a 25​-mile commute into work. Since you leave very​ early, the trip going to work is easier than the trip home. You can travel to work in the same time that it takes for you to make it 20 miles on the trip back home. Your average speed coming home is 2 miles per hour slower than your average speed going to work. What is your average speed going to​ work?
Found 3 solutions by addingup, MathTherapy, josgarithmetic:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
Speed to work 25/t
Speed back from work 20/t
(25/t)-2 = 20/t
25-2t = 20
-2t = -5
t = 2.5
---------------------
to work: 25*2.5 = 62.5
back: 20*2.5 = 50

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
You have a 25​-mile commute into work. Since you leave very​ early, the trip going to work is easier than the trip home. You can travel to work in the same time that it takes for you to make it 20 miles on the trip back home. Your average speed coming home is 2 miles per hour slower than your average speed going to work. What is your average speed going to​ work?
Although this seems EXTREMELY slow, .

Then again, besides a motor vehicle, the mode of transportation could be a bicycle/unicycle/skateboard, or other slower modes. 

IGNORE all other RIDICULOUS and WRONG answers! 

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
 r, speed going

r-2, speed to go back home

t, the time going to work







-



, using substitution from "going to" equation





-















---------






                RATE     TIME     DISTANCE
GOING           r         t        rt=25
BACK HOME       r-2       t         20





Basic Travel Rate Rule, RT=D:

System,   

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