SSC CGL 2019 PYQ — Question 44

SSC CGL Tier II - Quant 13th Sep. 19 • Quantitative Aptitude • Q44

A can do one third of a work in 15 days, B can do 75% of the same work in 18 days and C can do the same work in 36 days. B & C work together for 8 days. In how many days will A  alone complete the remaining work?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 20 days.

A = 45 days 

B = 24 days 

C = 36 days 

LCM = 360

B + C work for 8 days 

Totak work done = (15 + 10) 8 unit

                           = 25 × 8 = 200 units 

Work left = 360 - 200 = 160 units

Days for A to complete the remaining work = 160/8 = 20 days