SSC CGL 2018 PYQ — Question 61

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q61

A can do 1/5 of work in 10 days, B can do 1/3 of the work in 25 days. In how many days can they do half of the work working together?

Show answer & explanation

Correct answer: C

Explanation

  The correct answer is option 3 i.e. 15

Understanding

Application

A can do 1/5 of work in 10 days, B can do 1/3 of the work in 25 days.

So,

Time in which A can complete the job = 10 × 5 = 50 days

And

Time in which B can complete the job = 25 × 3 = 75 days

So,

Time in which they together can complete the job

= 1/(1/50 + 1/75)

= 1/(1/30) = 30

And

Time in which they together can complete half of the job = 15 days