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Question : 60 men can complete a work in 40 days. They start to work together but after every 10 days, 5 men leave work. In how many days will the work be completed?

Option 1: 47.5

Option 2: 49.5

Option 3: 42.5

Option 4: 45.5


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 47.5


Solution : Given: 60 men can complete a work in 40 days.
Total work = 60 × 40 = 2400 units
60 men worked in 10 days = 600 units
55 men worked in 10 days = 550 units
50 men worked in 10 days = 500 units
45 men worked in 10 days = 450 units
Total work left = 2400 – (600 + 550 + 500 + 450)
= 2400– 2100
= 300 units
Now, 40 men will do 300 units in = $\frac{300}{40}$
= 7.5
Total number of days to finish the work = 40 + 7.5 = 47.5 days
Hence, the correct answer is 47.5.

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