SSC CGL 2021 PYQ — Question 57

SSC CGL - 23 Aug 2021 - Shift 3 • Quantitative Aptitude • Q57

To do a certain work, the ratio of efficiencies of X and Y is 5 : 7. Working together, X and Y can complete the same work in 70 days. X alone started the work and left after 42 days. Y alone will complete the remaining work on :

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 90 days.

Efficiencies ratio X to Y = 5 ∶ 7

Total work = (5 + 7) × 70 = 840

Work done by X in 42 days = 42 × 5 = 210

Remaining work = 840 – 210 = 630

Remaining work completed by Y in = 630/7 = 90 days