Asked by Anonymous
                Can anybody help me with this? I don't understand?:
Tim paints 1 fence every two minutes. Moby paints 14 fences every two minutes. How many minutes will it take them to paint the fences, working together, if they have 150 fences to paint.
            
        Tim paints 1 fence every two minutes. Moby paints 14 fences every two minutes. How many minutes will it take them to paint the fences, working together, if they have 150 fences to paint.
Answers
                    Answered by
            TutorCat
            
    1/2 + 2/14 = x/150
    
                    Answered by
            TutorCat
            
    http://www.purplemath.com/modules/workprob4.htm
    
                    Answered by
            TutorCat
            
    2/1+14/2=150/x
    
                    Answered by
            bobpursley
            
    Here is a common sense approach. In two minutes, they both paint 15 fences.
amount=rate*time
150fences=15fences/2min * time
time= 150*2/15=20 min
Now a more analytical approach.
The combined rate is the rate of each added.
ratecombined= 1fence/2min+14fence/2 min
= 15fence/2 min
fencestotal= ratecombined*time
150=15/2 * time and you have it.
    
amount=rate*time
150fences=15fences/2min * time
time= 150*2/15=20 min
Now a more analytical approach.
The combined rate is the rate of each added.
ratecombined= 1fence/2min+14fence/2 min
= 15fence/2 min
fencestotal= ratecombined*time
150=15/2 * time and you have it.
                    Answered by
            TutorCat
            
    opps! be sure to write the units out because I accidentally wrote 2 min/1 fence instead of 1 fence/ 2 min.
1 fence/2 min +14 fence/2 min= 150 fence/x min
    
1 fence/2 min +14 fence/2 min= 150 fence/x min
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