SOLUTION: 8 men can dig a garden in 20 days. After working for 5days, 3men left. How long will it take to complete the whole work?.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 8 men can dig a garden in 20 days. After working for 5days, 3men left. How long will it take to complete the whole work?.      Log On


   

Question 772730: 8 men can dig a garden in 20 days. After working for 5days, 3men left. How long will it take to complete the whole work?.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What fraction of the job did the
8 men get done in 5 days?
In +5+ days, they did
+5%2F20+=+1%2F4+ of the job.
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There is +3%2F4+ of the job left.
+3+ men quit, so there are
+8+-+3+=+5+ men remaining.
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+8+ men can dig a garden in +20+ days
+5+ men can dig +5%2F8+ of
the garden in +20+ days
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They need to do +3%2F4+=+6%2F8+ of
the job.
Their rate of working is +%285%2F8%29+%2F+20+ gardens / days
So, they can do +%281%2F8%29+%2F+4+ gardens / days
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That means they can do +%286%2F8%29+%2F+24+ gardens / days.
It will take the 5 men 24 days to complete the digging