SOLUTION: It takes Terell 65 minutes to weed his garden if he does it every 2 weeks, while his wife can get it done in 45 minutes. How long would it take them working together? Round to the

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes Terell 65 minutes to weed his garden if he does it every 2 weeks, while his wife can get it done in 45 minutes. How long would it take them working together? Round to the       Log On


   

Question 1062763: It takes Terell 65 minutes to weed his garden if he does it every 2 weeks, while his wife can get it done in 45 minutes. How long would it take them working together? Round to the nearest tenth of minute.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Terrell does 1/65 of the weeding per minute.
His wife does 1/45 of the weeding per minute.
Together they do +1%2F65+%2B+1%2F45+ of the work per minute
+1%2F65+%2B+1%2F45+=+0.015385+%2B+0.022222+=+0.037607+=+1%2F26.5907+
So together it should take them +highlight%2826.6%29+ minutes
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Check: Here is a qualitative check: if Terrell worked as fast as his wife (1/45) then you'd expect them working together to cut that time in half, i.e. down to 22.5 minutes. He works a bit slower than his wife and so the answer we arrived at was a bit more than half of her time, so qualitatively this answer seems reasonable.
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In this problem we arrived at the answer by direct calculation, so a quantitative check is just going to make sure we did the arithmetic properly: 1/65 + 1/45 =(approx) 1/26.5907. (ok)
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