SSC CPO 2019 PYQ — Question 145

SSC CPO Tier I - 12th December 2019 - Shift 2 • Quantitative Aptitude • Q145

Vaibhav can do a piece of work in 60 days. He works there for 15 days and then Sandeep alone finishes the remaining work in 30 days. In how many days will Vaibhav and Sandeep working together finish the work?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 24 days

Application

Let the efficiency of the Vaibhav is 1 unit per day then the total work is 60 unit

After working 15 days

Remaining work 45 unit

45/30 = 1.5

So here 1.5 is the efficiency of Sandeep

Now,

When both work together, total efficiency = 2.5

So,

Number of days to finish the work when Vaibhav and Sandeep are working together

= 60/2.5 = 24 days