Ram and Shyam work on a job together for four days and complete 60% of it. Ram takes leave then and Shyam works for eight more days to complete the job. How long would Ram take to complete the entire job alone?
- A6 days
- B8 days
- C10 daysCorrect
- D11 days
Explanation
Here is the explanation for why option C is correct:
Step 1: Find the combined work rate of Ram and Shyam. They complete 60 percent of the job in 4 days. This means their combined daily rate is 15 percent per day (60 divided by 4).
Step 2: Determine the remaining work. Since 60 percent is finished, 40 percent of the work remains.
Step 3: Find Shyams work rate. Shyam completes the remaining 40 percent in 8 days. This means Shyams daily rate is 5 percent per day (40 divided by 8).
Step 4: Find Rams work rate. Since the combined rate is 15 percent and Shyams rate is 5 percent, Rams daily rate must be 10 percent per day (15 minus 5).
Step 5: Calculate the total time for Ram. To complete the entire job (100 percent) at a rate of 10 percent per day, Ram would take 10 days (100 divided by 10).
Therefore, the correct answer is 10 days.
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