Question

25 men can complete a task in 16 days. Four days after they started working, 5 more men, with equal workmanship, joined them. How many days will be needed by all to complete the remaining task?

• A. 15 days
• B. 18 days
• C. 12 days
• D. 10 days

Answer 1

Answer:

D. 10 days

Solution: Given: 25 men do the task in 16 days 5 more men had joined them Formula Used: If M1 men can finish W1 work in D1 days and M2 men can finish W2 work in D2 days then, (M1 × D1)/W1 = (M2 × D2)/W2 Calculation: Total work done by 25 men = 25 × 16 = 400 units Work done in 1st four days = 25 × 4 = 100 units Remaining work = 400 - 100 = 300 units Numbers of men joined = 5 Total number of men = 25 + 5 = 30 Remaining work done by 30 men in x days 300 = 30 × x x = 10 ∴ 10 days will be needed by all to complete the remaining task