Question 394478
A piece of work can be done in 48 days by 40 men. After 15 days, 16 men were transferred. In how many days can the remaining men finish the work?
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40 men can do the job in 48 days, this means that 40 men can do 1/48 of the job each hour
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after 15 hours:  15/48 of the job is completed and 33/48=11/16 of the job incomplete
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16 men are transferred.  That leaves 24 men to complete the job.
each man worked at a rate of  1/(48*40) (assuming they all work at the same rate). 
So the remaining 24 men work at the rate of 24/(48*40)=1/80
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11/16 of the job needs to be done by a crew of 24 working at a rate of 1/80 per hour.
Job=rate *time  or  time =job/rate=(11/16)/1/80)=80*11/16=55hours