Correct Answer - Option 3 : 36
Given :
Ram can complete the work in 60 days
Shyam can complete the work in 45 days
Concept used :
Person's per day work = Total work/Number of days he took to finish work
Calculations :
Total work = LCM of 60 and 45
⇒ 180 units
Ram's per day work = 180/60 = 3 units
Shyam's per day work = 180/45 = 4 units
Ram and Shyam per day work = 3 + 4 = 7 units
70% of the work is completed together
70% of the work = 70% of 180 units
⇒ 126 units
Time taken by Ram and Shyam to complete this work = 126/7
⇒ 18 days
Now remaining work is completed by Ram alone
Remaining work = 180 - 126 = 54 units
Number of days taken by Ram = 54/3 = 18 days
Total number of days Ram worked = 18 + 18
⇒ 36 days
∴ Ram worked for a total of 36 days
