The ratio of the efficiencies of A B and C is 7 5 4 Working together they can finish a work in 35 da...........

Quantitative Aptitude (CGL) Ratio, Proportion

The ratio of the efficiencies of A, B and C is 7 : 5 : 4. Working together, they can finish a work in 35 days. A and B work together

for 28 days. The remaining work will be completed (in days) by C alone:

This questions was previously asked in

SSC CGL 4 June 2019 Shift-3

- The efficiencies of A, B, and C are in the ratio 7:5:4.

- Let their individual efficiencies be 7x, 5x, and 4x respectively.

- Combined efficiency of A, B, and C = 7x + 5x + 4x = 16x.

- They complete the work in 35 days, so total work = 16x × 35.

- A and B work together for 28 days, doing (7x + 5x) × 28 = 12x × 28 work.

- Work done by A and B = 336x, so remaining work = 560x - 336x = 224x.

- C's efficiency is 4x, so time taken by C alone = 224x / 4x = 56 days.

- The correct answer is Option:1 - 56 days.

Submit Error