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19 men working 15/2 h a …

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19 men working 15/2 h a day can finish a job in 21 days. how many hours a day must 45 men work to complete it in 7 days?
  • 2 answers

Gaurav Seth 6 years, 4 months ago

19 men take 21 days working 15/2 hours per day.

Hours per day 45 men will take to complete in 7 days will be:

if 19 men = 15/2 hours
then 45 men =  19/45 hours ( this because the 45 men will take less  hours per day, hence you use the lesser fraction of the two values)

if 21 days =  15/2 hours per day
then 7 days= 21/7    (this because the hours required will be more, hence you use the larger fraction of the two values)

therefore the calculation is =  15/2 x 19/45 x 21/7

                                    = (15x19x21)/(2x45x7)  
                                    
                                    = 19/2

                                     = 9.5 hours per day

Renuka Seiwal 6 years, 4 months ago

Total hours taken to finish a job=15/2 ×21×19, Hours taken to finsh by45 men and7 days=(15×21×19)/(2×45×7)=19/2=9.5h
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