Question : 20 men can finish a work in 220 days, but at the end of 90 days, 20 additional men are employed. In how many more days will the work be completed?
Option 1: 50
Option 2: 60
Option 3: 65
Option 4: 55
Correct Answer: 65
Solution :
Time taken by 20 men to complete the work = 220 days
So, total work = total men working × number of days
= 20 × 220 units
= 4400 units
Work completed by the end of 90 days = 20 × 90 = 1800 units
Work left after 90 days = 4400 – 1800 = 2600 units
Number of people who joined after 90 days = 20
Total number of people after 90 days = 20 + 20 = 40 men
Let the time taken by them to complete the left-out work be t days
So, work done by them in t days = 40 × t
According to the question, 40 × t = 2600
or, t = 65 days
Hence, the correct answer is 65.
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