Question
Download Solution PDFSome workers could complete a work in 150 days. However, due to the absence of 15 workers it was completed in 165 days. Then the initial number of workers was :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Work completion with initial workers = 150 days
Work completion with 15 fewer workers = 165 days
Formula used:
Let the initial number of workers be W.
Work = Number of workers × Number of days
Initial work done = W × 150
Work done with 15 fewer workers = (W - 15) × 165
Since the work done is the same in both cases:
W × 150 = (W - 15) × 165
Calculation:
W × 150 = (W - 15) × 165
⇒ W × 150 = 165W - 165 × 15
⇒ 150W = 165W - 2475
⇒ 2475 = 165W - 150W
⇒ 2475 = 15W
⇒ W = 2475 ÷ 15
⇒ W = 165
∴ The correct answer is 165.
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