SSC CPO 2024 PYQ — Question 139

SSC CPO - 27 June 2024 - Shift 3 • Quantitative Aptitude • Q139

Mitu can do a piece of work in 12 hours, Titu and Situ together in 2 hours, and Mitu and Situ together in 3 hours. How long will Titu alone take to do it?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 4 hours.

Given that

Mitu can finish the work in 12 hours

Titu and Situ can finish the work in 2 hours

Mitu and Situ can finish the work in 3 hours

Let the total work be 12 units

Hence, work completed by Mitu in 1 hour = 1 unit

Work completed by Titu and Situ in 1 hour = 6 units

Work completed by Mitu and Situ in 1 hour = 4 units

Hence work completed by Situ in 1 hour alone = 4 - 1 = 3 units

Wook completed by Titu in 1 hour = 6 - 3 = 3 units

Hence total time taken by her to complete 12 units = 123\frac{12}{3} = 4 hours.