SSC CHSL 2021 PYQ — Question 74

SSC CHSL - 6 Aug 2021 - Shift 1 • Quantitative Aptitude • Q74

Geeta can assemble a toy in 10 minutes, whereas Sudha can assembe the same toy in 15 minutes. If they work together, how much time will they take to assembe 60 toys?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 6 hours.

Let entire work be the LCM of the time taken by Geeta & Sudha = 30 units

Units of work Geeta does in a minute = 30 ÷ 10 = 3 units of work

Units of work Sudha does in a minute = 30 ÷ 15 = 2 units of work

The time taken to finish the entire work together = 30 ÷ (3 + 2) = 6 minutes 

So, the time taken to make 60 toys together = 6 × 60 = 360 minutes = 6 hours

If they work together, they will take 6 hours to assemble 60 toys.