Question
Mohan, Sohan, and Rohan alone can finish a piece of work in 50, 100, and 150 days respectively. They start the work together, but Mohan leaves after 8 days and Sohan leaves 14 days after Mohan. How long did Rohan work?
Solution
 Total work = LCM of 50, 100, and 150 = 300 units.  Mohan's daily work = 300/50 = 6 units.  Sohan's daily work = 300/100 = 3 units.  Rohan's daily work = 300/150 = 2 units.  Work done in the first 8 days = 8 × (6 + 3 + 2) = 88 units.  Work done by Sohan and Rohan together in the next 14 days = 14 × (3 + 2) = 70 units.  Remaining work = 300 - 88 - 70 = 142 units.  Time taken by Rohan to complete the remaining work = 142/2 = 71 days.  Total days Rohan worked = 8 + 14 + 71 = 93 days.
More Time and work Questions
- Anupam requires 30% more time than Aman to complete a certain task. If both of them work together and earn a total of Rs. 23,000, determine Anupam's share ...
- A can do a job alone in 66 days, B can do it alone in 55 days, while A, B, and C working together can complete the job in 11 days. In how many days can C d...
- A can complete a task in 20 days, and B can complete it in 25 days. When B and C collaborate, they can finish the same task in 75/8 days. Now, if A and C i...
- A can complete a work in 15 days and B can complete the same work in 20 days. They work together for 5 days. If after that B's efficiency increases by 25%,...
- Anupam can do a piece of work in 36 days and Rajveer can do it in 15 days. Diksha can do the same work in (17/18) times the number of days required by both...
- Two pipes X and Z can fill a tank in 36 hours and 48 hours respectively, while pipe Y can drain the tank in 72 hours. If pipes X and Z are opened together ...
- A, B and C can complete a work in 15, 20 and 30 days respectively. They all start working together. After 3 days, C leaves. The remaining work is completed...
- Anil and Ashish receive Rs.2000 for work of 8 days. If Anil is 4 times efficient than Ashish, then find the daily wage received by Ashish.
- A and B individually can complete the work in 20 days and 30 days respectively. If the time taken by C alone to complete the work is 1.25 times the time ta...
- Working alone, 'C' can complete a job in 30 days. 'D' takes 20% less time than 'C' to finish the same job. Calculate the percentage of work done by 'C' and...
Relevant for Exams:
