SSC CPO 2019 PYQ — Question 133

SSC CPO Tier I - 11th December 2019 - Shift 1 • Quantitative Aptitude • Q133

A and B together can do a certain work in x days. Working alone, A and B can do the same work in (x + 8) and (x + 18) days respectively. A and B together will complete 5/6 of the same work in:

Show answer & explanation

Correct answer: C

Explanation

  The correct answer is option 3 i.e. 10 days

Understanding

Application

A and B together can do a certain work in x days. Working alone, A and B can do the same work in (x + 8) and (x + 18) days respectively.

So,

Time in which A and B together can do a certain work = x = √(8 × 18)

= √144

= 12 days

 

Hence,

A and B together will complete 5/6 of the same work in: 5/6 × 12 = 10 days