40 workers working 8 hours is day complete 1/3 of work in 18 days from the next day 24 additional workers are employed and all of them work 9 hour per day in how many days the remaining work be completed?
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Forty workers work 8 hours daily. They complete 1/3 part of the work in 18 days. So they appointed 24 additional workers to complete the work. Now, the workers work 9 hours daily. How many days would be required to complete the work?
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9 Answers
SusaiRaj
, former Retired Teacher.
Answered Sep 19, 2018
1/3 of the work is completed. So the remaining part is 1 - 1/3 = 2/3.
Let the required number of days be x.
Total number of workers after appointing 24 additional workers = 40 + 24 = 64.
No.of workers and the no.of days taken by them to finish a work is inversely proportional.
So 64:40 = 18:x. (1)
No.of working hours and the number of days are inversely proportional. So
9:8 = 18:x …(2)
Amount of work and the no.of days are directly proportional. So
1/3 : 2/3 = 18 : x …(3)
Combining all (1),(2),(3) and using the rule product of extremes equals product of means we get
64 × 9 × 1/3 × x = 40 × 8 × 2/3 × 18
So x = {40 × 8 × 2/3 × 18}/{64 × 9 × 1/3} = 20