SSC CGL 2018 PYQ — Question 67

SSC CGL Tier II Quant - 17/02/2018 • Quantitative Aptitude • Q67

Working together A and B can do a job in 40 days, B and C in 36 days, and all three together in 24 days. In how many days can B alone do the job? 

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 90

(1/a) + (1/b) + (1/c) = 1/24

Given,

(1/b) + (1/c) = 1/36

(1/a) + (1/36) = 1/24

1/a = 1/72

a = 72 days

1/b = (1/40) - (1/72)

1/b = 4/360 = 1/90 

b = 90 days