SOLUTION: It takes Terrell 83 minutes to weed his garden, while his wife can get it done in 63 minutes. How long would it take them working together? Round to the nearest tenth of a minute.

Algebra ->  Proportions  -> Lessons -> SOLUTION: It takes Terrell 83 minutes to weed his garden, while his wife can get it done in 63 minutes. How long would it take them working together? Round to the nearest tenth of a minute.      Log On


   

Question 1026885: It takes Terrell 83 minutes to weed his garden, while his wife can get it done in 63 minutes. How long would it take them working together? Round to the nearest tenth of a minute.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Ad their rates of working
Terrell's rate:
[ 1 garden ] / [ 83 min ]
His wife:
[ 1 garden ] / [ 63 min ]
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Let +t+ = their time working together
+1%2F83+%2B+1%2F63+=+1%2Ft+
Multiply both sides by +83%2A63t+
+63t+%2B+83t+=+63%2A83+
+146t+=+5229+
+t+=+35.815+
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It takes them 35.8 min working together
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check:
+1%2F83+%2B+1%2F63+=+1%2Ft+
+1%2F83+%2B+1%2F63+=+1%2F35.8+
+.01205+%2B+.01587+=+.02793+
+.02792+=+.02793+
Error due to rounding off, I think