Rahul Can Finish a Job in 30 Days GMAT Problem Solving

Question: Rahul can finish a job in 30 days. He worked for 15 days alone and completed the remaining job working with Gaurav in 3 days. How many days would both Gaurav and Rahul together take to complete the entire job?

1. 4 days
2. 5 days
3. 6 days
4. 10 days
5. 12 days

‘Rahul can finish a job in 30 days.?’ - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide 2022”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge. 

Solution and Explanation:

Approach Solution 1:

There is only one way to solve this problem.
Rahul worked for 15 days. Gaurav finishes the remaining work in 3 days. This sum can be solved by calculating the work days and the efficiency of both of them.
So the equation stands
15Rahul =3(Rahul+Gaurav)=3Rahul +3Gaurav
12Rahul=3Gaurav
Rahul/Gaurav=¼
Efficiency of Rahul=1 and Gaurav=4
Total work = 30*1=30
Together working, efficiency=Rahul+Gaurav =5
30/5=6 days
Hence 6 days are required for both Gaurav and Rahul together take to complete the entire job.
Correct Answer: C

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