SSC CGL 2023 PYQ — Question 57

SSC CGL - 14 July 2023 - Shift 3 • Quantitative Aptitude • Q57

In an office, a typing work can be finished by Monika in 6 hours, Anita in 8 hours and Manju in 5 hours if they work alone. How much time (in hours) will they take if they work together?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 22592\frac{2}{59}

Given that

A typing work can be finished by Monika in 6 hours

The same typing work can be finished by Anita in 8 hours

The same typing work can be finished by Manju in 5 hours

Total work = LCM (6, 8, 5) = 120

The efficiency of Monika = 120/6 = 20

The efficiency of Anita = 120/8 = 15

The efficiency of Manju = 120/5 = 24

Hence, If they work together, the time taken to finish the same work = 120/59 =  22592\frac{2}{59}