Sonu can do a work in 15 days Monu can do it in 10 days and Tipu can do it in 12 days In how many da...........

Quantitative Aptitude (MTS) Time and work

Sonu can do a work in 15 days, Monu can do it in 10 days, and Tipu can do it in 12 days. In how many days can Sonu, Monu and

Tipu together complete the work?

This questions was previously asked in

SSC MTS 11th July 2022 Shift-1

4 days

8 days

10 days

5 days

- Sonu can complete the work in 15 days, so in one day, Sonu does 1/15 of the work.

- Monu can complete the work in 10 days, so in one day, Monu does 1/10 of the work.

- Tipu can complete the work in 12 days, so in one day, Tipu does 1/12 of the work.

- Together in one day, they complete \( \frac{1}{15} + \frac{1}{10} + \frac{1}{12} \) of the work.

- Calculating the above:

\frac{1}{15} + \frac{1}{10} + \frac{1}{12} = \frac{4+6+5}{60} = \frac{15}{60} = \frac{1}{4}

- Therefore, together they complete the work in 4 days.

- Option: 1, 4 days.

- Option: 2, 8 days.

- Option: 3, 10 days.

- Option: 4, 5 days.

Correct Answer: Option 1, 4 days

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