SSC GD 2023 PYQ — Question 54

SSC GD Constable (English) - 13 Jan 2023 - Shift 3 • Quantitative Aptitude • Q54

A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days can A alone finish the whole work?
 

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 60

Given that

A and B can together finish a work = 30 days

After 20 days B left work.

According to the question

(A + B) × 30 = (A +B) × 20 + A × 20

(A + B) × 10 = A × 20

10 A = 10 B

A = B

Total work = (A + B) × 30 = 60 A

Now, 

A can alone finish the whole work = 60 days