SSC CPO 2019 PYQ — Question 105

SSC CPO Tier I - 13th December 2019 - Shift 2 • Quantitative Aptitude • Q105

If 45 persons can complete a work in 18 days, working 8 hours a day, then how many persons are required to complete two-thirds of the same work in 20 days, working 9 hours a day?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 24

Application

M1D1H1/W1 = M2D2H2/W2

Here, m = men

w = work

h = hour

Also, w1 = w2

⇒ (45 × 18 × 8)/1 = (x × 20 × 9)/(2/3)

⇒ 6480 = x × 270

⇒ x = 6480/270

⇒ x = 24

Hence,

Total persons = 24