Question
Download Solution PDF40 men can complete a work in 15 days. Three days after they started working, 20 more men joined them. In how many days the total work will be completed?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
40 men can complete work in 15 days
Number of days 40 men worked = 3 days
20 new men are joined
Concept used:
Work = time × efficiency
Calculation:
Let the efficiency of each man be 'm'.
Total work = 40 × m × 15
⇒ 600m
Work done in 3 days = 40 × 3 × m
⇒ 120m
Remaining work = 600m - 120m = 480m
Let the number of days needed to complete the remaining work be N
So, 60 × N × m = 480m
⇒ N = 8
So, total time = 3 + 8
⇒ 11 days
∴ The total work will be completed in 11 days.
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