Statement 1: Work done varies inversely to the number of persons at work.

Statement 2: Time taken to finish a work varies directly to the number of persons at work.

Which of the following options is correct?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

Since, Work done is constant.

Work done increases with more people working. Therefore, work done is directly proportional to the number of persons.

So, statement 1 is false.

Time taken decreases with more people working.

Therefore, time taken is inversely proportional to the number of persons.

So, statement 2 is false.

Hence, option 2 is the correct option.