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A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the work is completed.
How many approximate days are needed to complete the work?
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- 8 days
- 9 days
- 10 days
- 11 days
Correct Option: C
Let the work be finished in x days.
| + | + | + ..... + | = 1 | |||||
| 50 | 50 | 50 | 50 |
⇒ x + x – 1 + x – 2 + .... + 1 = 50
i.e., 10 + 9 + 8 + .... + 1 = 55
9 + 8 + .... + 1 = 45
∴ Required time = 10 days
