SOLUTION: a contractor engages 24 workers to build a road in 30 days. after 24 days he finds that 1/4 of the work remains. how many more workers are needed to build the road in time.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: a contractor engages 24 workers to build a road in 30 days. after 24 days he finds that 1/4 of the work remains. how many more workers are needed to build the road in time.      Log On


   



Question 824561: a contractor engages 24 workers to build a road in 30 days. after 24 days he finds that 1/4 of the work remains. how many more workers are needed to build the road in time.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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work rate experienced during the first 24 days:
r = jobs/(workers*time)
r = (3/4)/(24*24)
r = 0.001302083333333 job/(worker*day)
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assume the same work rate to complete the remaining 1/4 of the job in the remaining 6 days:
r = (1/4)/(workers*6)
workers = (1/4)/(6*r)
workers = (1/4)/(6*0.001302083333333)
workers = 32
additional workers = 32 - 24 = 8
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answer:
to complete the job in the remaining 6 days, the contractor must hire 8 additional workers, for a total of 32 workers.
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