Question
A contractor hired 50 workers to complete a work in 80
days. After 50 days, it was found that only 1/4th of the work was completed. Find the number of extra workers needed to be hired, so that the work gets completed on time.Solution
ATQ, Total work = 50workers × 80days = 4000worker-days Work completed = 1/4 of total work = 4000/4 = 1000 worker-days Remaining work = 4000 worker-days − 1000 worker-days = 3000 worker-days Days left =80 days − 50 days = 30 days Hence, Number of workers needed = {3000 worker-days/30 days} =100 workers Therefore Number of extra workers required: Extra workers needed = 100 workers − 50 workers = 50 workers Thus, the contractor needs to hire 50 extra workers to complete the work on time.
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