SSC CHSL 2022 PYQ — Question 67

SSC CHSL - 25 May 2022 - Shift 3 • Quantitative Aptitude • Q67

A can do a piece of work in 12 days and B can do it in 30 days. They work on alternate days; starting with A. In how many days will the work be completed? 

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 164516 \dfrac 4 5

Given:

A can do a piece of work in 12 days and B can do it in 30 days

Calculations:

Total work (LCM of 12 and 30) = 60 units

Efficiency of A = 60/12 = 5 units

Efficiency of B = 60/30 = 2 units

As they work on alternate days so,

Work done in 2 days = 7 units

Work done in 16 days = 56 units

Remaining units = 60 - 56 = 4 units

A will complete the remaining work = (4/5) days

Total days = 16 + (4/5) = 164516\dfrac{4}{5} days