Question

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?
1. 6 days
2. 8 days
3. 10 days
4. 11 days

Answer 1

Correct Answer - Option 3 : 10 days

Given 

Ram and shyam complete 60% of work = 4 days 

Formula used 

Work = time × efficiency 

Calculation 

Let the work be x 

⇒ the efficiency of Ram and shyam be R and S 

⇒ Ram and shyam can complete whole work = 4 × (10/6) = 6(2/3) days 

⇒ remaining work after 4 days 

⇒ (R + S) × 8/3 = S × 8 

⇒ R : S = 2 : 1 

⇒ Ram can complete the whole work = (3 × 20/3)/2 = 10 days 

∴ Ram take to complete the entire job alone in 10 days