Multiple Choice Questions

Ankita can write a manuscript in 20 days Ankita along her friend Somya can write the manuscript in 1...........

Quantitative Aptitude (CPO) Time and work

Ankita can write a manuscript in 20 days. Ankita, along her friend Somya, can write the manuscript in 12 days. In how many days

can Somya alone write the manuscript ?

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 3

- Ankita can complete the manuscript in 20 days. This means her work rate is 1/20 of the manuscript per day.

- Ankita and Somya together complete it in 12 days. So, their combined work rate is 1/12 of the manuscript per day.

- Let's find Somya’s work rate:

- Individual work rate of Ankita: 1/20 per day.

- Combined work rate of both: 1/12 per day.

- Somya’s work rate = Combined work rate - Ankita’s work rate = 1/12 - 1/20.

- Calculating Somya’s work rate:

- Find LCM of 12 and 20, which is 60.

- Convert work rates: 1/12 = 5/60 and 1/20 = 3/60.

- Somya’s work rate = 5/60 - 3/60 = 2/60 = 1/30 of the manuscript per day.

- Therefore, Somya can write the manuscript alone in 30 days.

Correct Answer: Option:4, 30

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