SSC GD 2023 PYQ — Question 42

SSC GD Constable (English) - 24 Jan 2023 - Shift 3 • Quantitative Aptitude • Q42

Work done by two men is equal to work done by three women, and work done by five women is equal to work done by seven boys. If 16 men can finish a work in 2 days, then in how many days the work will be completed by two boys?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 33.6

Concept Used:

Total work = Efficiency × total time

Explanation:

According to the given question,

2M = 3W

And 5W = 7B

⇒ 10M = 15W = 21B

⇒ 10M = 21B

Now, total work done by 16 men in 2 days = 32 units

Now, the time taken by 2 boys to complete this work = 3220×21{32 \over 20} \times 21 = 33.6 days

Hence the required answer is 33.6 days