SSC CGL 2018 PYQ — Question 33

SSC CGL Tier II Quant - 21/02/2018 • Quantitative Aptitude • Q33

A can paint a house in 55 days and B can do it in 66 days. Along with C, they did the job in 12 days only. Then, C alone can do the job in how many days?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 20

Let the total amount of work be 660 units

Efficiancy of (A + B + C) = 55 units/day

Efficiancy of C = 55 - 12 - 10 = 33 units/day

Time taken by C to complete the work = 66/33 = 20 days