Posted by **Anonymous** on Thursday, September 16, 2010 at 8:10pm.

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.

- Math -
**TutorCat**, Thursday, September 16, 2010 at 8:26pm
1/2 + 2/14 = x/150

- Math -
**TutorCat**, Thursday, September 16, 2010 at 8:28pm
http://www.purplemath.com/modules/workprob4.htm

- Math (correction) -
**TutorCat**, Thursday, September 16, 2010 at 8:33pm
2/1+14/2=150/x

- Math -
**bobpursley**, Thursday, September 16, 2010 at 8:50pm
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.

- Math (opps) -
**TutorCat**, Thursday, September 16, 2010 at 9:00pm
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

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