SSC CGL 2019 PYQ — Question 66

SSC CGL - 4th June 2019 - Shift 2 • Quantitative Aptitude • Q66

The ratio of the efficiencies of A, B and C is 4 : 5 : 3. Working together, they can complete that work in 25 days. A and C together will complete 35% of that work in:

Show answer & explanation

Correct answer: A

Explanation

 The correct answer is option 1 i.e. 15 days

Concept

Understanding

Application

Work efficiency 

Total work = Efficiency × Time

Ratio of efficiencies of A, B and C = 4 : 5 : 3

Suppose the efficiencies are 4x, 5x and 3x


 

Working together, they can complete task in 25 days:

Total work = (4x + 5x + 3x) × 25 = 300x

35% of the total work = 300x × 0.35 = 105x

35% of the total work completed by A and C together in = 105x/(4x + 3x) = 105/7 = 15 days