SSC GD 2021 PYQ — Question 59

SSC GD Constable (English) - 18th November 2021 Shift 3 • Quantitative Aptitude • Q59

If X & Y together can complete the work in 10 days, Y and Z can complete the work in 12 days, and Z & X can complete the work in 15 days, then X alone will complete the work in:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 24 days.

Calculations:

Now, we have

⇒ 2(X + Y + Z) = 15

⇒ X + Y + Z = 15/2

we get, X + Y + Z - (Y + Z) = 15/2 - 5

⇒ X = 5/2

Required number of days = 60 × 2/5 = 24 days