SSC GD 2024 PYQ — Question 50

SSC GD Const (English) - 29 Feb 2024 - Shift 2 • Quantitative Aptitude • Q50

Three friends can complete a puzzle in 4 hours. If they invite two more friends to help, how long will it take to complete the same puzzle?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 144 minutes.

The three friends can complete the puzzle in 4 hours 

Therefore, their combined work rate is 1/4​ of the puzzle per hour

Let R be the work rate of each person then,

⇒ 3R = 1/4

⇒ R = 1/12

So, each friend can complete 1/12 of the puzzle per hour

Now,

⇒ 5R = 5/12

⇒ T = 1/5R

⇒ T = 1/5/12

⇒ T = 12/5 = 2.4 hours or 144 minutes