SOLUTION: IT TAKES 20 MEN 60DAYS TO COMPLETE A BUILDING WORK, HOW MANY DAYS LONGER WOULD IT TAKES 15 MEN ASSURING THAT THEY ALL WORK AT THE SAME RATE

Algebra ->  Rate-of-work-word-problems -> SOLUTION: IT TAKES 20 MEN 60DAYS TO COMPLETE A BUILDING WORK, HOW MANY DAYS LONGER WOULD IT TAKES 15 MEN ASSURING THAT THEY ALL WORK AT THE SAME RATE      Log On


   

Question 1191584: IT TAKES 20 MEN 60DAYS TO COMPLETE A BUILDING WORK, HOW MANY DAYS LONGER WOULD IT TAKES 15 MEN ASSURING THAT THEY ALL WORK AT THE SAME RATE
Found 4 solutions by josgarithmetic, Alan3354, greenestamps, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
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20 men need 60 days for the job
15 men, then the speed becomes 0.75 of what it was so 60%2F0.75=80%2Adays.

To use some algebra,
r, the work rate of 1 man
1, for 1 piece of work or job
x, how many days


20r%2A60=1=15r%2Ax
20%2A60=15x
%2820%2A60%29%2F15=x
x=80

Answer by Alan3354(69443) About Me  (Show Source):
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IT TAKES 20 MEN 60DAYS TO COMPLETE A BUILDING WORK, HOW MANY DAYS LONGER WOULD IT TAKES 15 MEN ASSURING THAT THEY ALL WORK AT THE SAME RATE
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Jobs are often expressed in man-hours of man-days estimated to do them.
20*60 = 1200 man-days
1200/15 = 80 days

Answer by greenestamps(13209) About Me  (Show Source):
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15/20 = 3/4 as many men means 4/3 as many days.

ANSWER: 60(4/3) = 80 days

Answer by MathTherapy(10556) About Me  (Show Source):
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IT TAKES 20 MEN 60DAYS TO COMPLETE A BUILDING WORK, HOW MANY DAYS LONGER WOULD IT TAKES 15 MEN ASSURING THAT THEY ALL WORK AT THE SAME RATE
                                    

Time it takes 15 men, working at the same rate, or matrix%281%2C6%2C+T%2C+%22=%22%2C+%221%2C200%22%2F15%2C+%22=%22%2C+80%2C+days%29

Days longer that it'd take 15 men: 80 - 60 = 20