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A certain number of persons can complete a piece of work in 55 days. If there were 6 persons more, the work could be finished in 11 days less. How many persons were originally there ?
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- 17
- 24
- 30
- 22
Correct Option: B
Originally, let there be x men
Now, more men, less days
(x + 6) : x : : 55 : 44
So, | = | = | ||||
x | 44 | 4 |
or 5x = 4x + 24
or x = 24
Aliter : Using Rule 23,
Here, D = 55. a = 6, d = 11
No of people initially
= | d |
= | = 24 | 11 |