SSC CGL 2021 PYQ — Question 68

SSC CGL - 23 Aug 2021 - Shift 2 • Quantitative Aptitude • Q68

To do a certain work, efficiencies of A and B are in the ratio of 7 : 5 , Working together, they can complete the work in 17 12\frac{1}{2}days. In how many days, will B alone complete 50% of the same work?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 21

Let the efficiency of A and B be 7x and 5x.

Total work = 12x × 35/2 = 210x.

50% of the work = 210x/2 = 105x.

Time taken by B to complete the task = 105x/5x = 21 days.