SSC CGL 2023 PYQ — Question 67

SSC CGL - 26 July 2023 - Shift 3 • Quantitative Aptitude • Q67

Abraham can complete a work in 9 days, while Andrew can complete the same work in 6 days. In how many days can they complete the work if they work together?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 3353\frac{3}{5}.

Let the total work be LCM(9 and 6) = 18 units

Work done by Abraham in 1 day = 189=2 units\frac{18}{9} = 2\ units

Work done by Andrew in 1 day = 186=3 units\frac{18}{6} = 3\ units

Working together they compete 3 + 2 = 5 units in 1 day 

Hence, they will complete 18 units in = 185\frac{18}{5} days = 3353\frac{3}{5} days