SSC CGL 2023 PYQ — Question 73

SSC CGL - 21 July 2023 - Shift 4 • Quantitative Aptitude • Q73

A is 40% more efficient than B. How much time will they take to work together to complete a job, which A alone could have done in 31 days?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e.  21712\frac{217}{12} days.

Let the amount of work completed by B in 1 day be 5 units

Since A is 40% more efficient than B, the amount of work completed by A in 1 day = 1.4 × 5 = 7 units

A can alone complete the work in 31 days 

⇒ Total work = 31 × 7 = 217 units

Hence the time taken to complete 217 units by both of them working together = 21712\frac{217}{12} days