Manoj can do a piece of work in 8 hours. Anand can do it in 8 hours. With the assistance of Anil, they completed the work in 2 hours. In how many hours can Anil alone do it?
Given:
Manoj's time = 8 hours
Anand's time = 8 hours
All three together finish in 2 hours
Formula Used:
Efficiency = Total Work ÷ Time
Solution:
Let Total Work = 8 units
Then:
Manoj's efficiency = = 1 unit/hour
Anand's efficiency = = 1 unit/hour
Let Anil’s efficiency = x units/hour
So, in 1 hour, total efficiency of the three = 1 + 1 + x
In 2 hours, total work = 8 units:
2(1 + 1 + x) = 8
2(2 + x) = 8
2 + x = 4
x = 2
So, Anil’s efficiency = 2 units/hour
Time = = 4 hours
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Suggested Test Series
Suggested Test Series
Rishi can finish of a certain work in 26 days. Rakesh can finish of the same work in 18 days. Rustum can finish 2/3 of the same work in 48 days. Who will complete the work first?
A can finish a piece of work in 36 days and B in 72 days. They begin the work together, but A leaves 6 days before the completion of the work. In how many total days the complete work will be done?
A is twice as efficient as B. Together, they can complete a task in 12 days. How many days will A alone take to complete the task?
A alone can do a work in 30 days, B alone in 40 days. They start together, but A leaves 5 days before the completion. Total work is completed in 20 days. In how many days did A work?
X alone can complete a work in 56 days and Y alone can do it in 72 days. both completed in:
Working together A, B and C can complete a certain work in 40 days. B and C together can complete thesame work in 60 days. B is 25% more efficient than A. In how many days will C alone complete 40% ofthe same work?
Pinki, Chinki and Reema started a work and Reema left after 4 days when 46% of the work is completed and then work got completed in 9 more days. In how many days can Reema alone complete the work?
A can lay railway track between two given stations in 20 days and B can do the same job in 12 days. With the help of C, they did the job in 2 days only. Then, C alone can do the job in
Isha can do a certain piece of work in 24 days. Isha and Smriti can together do the same work in 20 days, and Isha, Smriti and Ashlesha can do the same work together in 12 days. In how many days can Isha and Ashlesha do the same work together?
Ajit and Bimal can do a piece of work in 5, and 8 days, respectively, while Chandan can destroy the same work in 12 days. Ajit works on the 1st day, Bimal works on the 2nd day, Chandan works on the 3rd day and so on. They follow the same pattern until the work gets completed. How many days will it take for the work to be completed the first time?
