SSC CPO 2019 PYQ — Question 127

SSC CPO Tier I - 12th December 2019 - Shift 1 • Quantitative Aptitude • Q127

A can finish one-third of work in 5 days, B can finish two-fifth of the same work in 10 days and C can finish 75% of the same work in 15 days. They work together for 6 days. In what time B can finish the remaining work?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 3/2 days

Application

A can finish the total work in = 3 × 5 = 15 days

B can finish the total work in = (5/2) × 10 = 25 days

C can finish the total work in = (9/3) × 15 = 20 days.

The amount of work completed by A + B + C in 6 days = 
(1/15 + 1/25 + 1/20) × 6 = 47/50.

Then the remaining work = 1 - (47/50) = 3/50

Remaining work B will finish in (3/50) × 25 days = 3/2 days