SSC CGL 2020 PYQ — Question 92

SSC CGL Tier II - Quant - 16 Nov 2020 • Quantitative Aptitude • Q92

To do a certain work, the ratio of the efficiencies of A and B is 7 : 5. Working together, they can complete the same work in 1712\frac{1}{2}days. A alone will complete 60% of the same work in :

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 18 days

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

Total work = Number of days × total efficiency

Total work = 35/2 × 12x

= 210x

60% of work = 210 × 60% = 126x.

Time taken by A to finish 126x units of work = 126x/7x = 18 days.