Ramesh can complete a work in 20 days. Mohan is 66.67% as efficient as Ramesh. Mohan and Ramesh begin to work together. Ramesh leaves after working for some days. The remaining work is completed by Mohan in 10 days. After how many days does Ramesh leave the work?6.5 days8.5 days10 days8 days
Question
Ramesh can complete a work in 20 days. Mohan is 66.67% as efficient as Ramesh. Mohan and Ramesh begin to work together. Ramesh leaves after working for some days. The remaining work is completed by Mohan in 10 days. After how many days does Ramesh leave the work?6.5 days8.5 days10 days8 days
Solution
The problem can be solved in the following steps:
Step 1: Determine the rate at which Ramesh and Mohan work.
Ramesh can complete the work in 20 days, so his work rate is 1/20 of the work per day.
Mohan is 66.67% as efficient as Ramesh, so his work rate is 66.67/100 * 1/20 = 1/30 of the work per day.
Step 2: Determine how much work Mohan does alone.
Mohan completes the remaining work in 10 days, so the amount of work he does alone is 10 * 1/30 = 1/3 of the work.
Step 3: Determine how much work is done together.
The total work is 1 (it's a whole), so the work done together is 1 - 1/3 = 2/3 of the work.
Step 4: Determine how long Ramesh and Mohan work together.
The rate at which they work together is the sum of their individual rates, so it's 1/20 + 1/30 = 1/12 of the work per day.
The time it takes to do 2/3 of the work at a rate of 1/12 per day is (2/3) / (1/12) = 8 days.
So, Ramesh leaves the work after 8 days.
Similar Questions
Ajith can do a piece of work in 10 days and Vijay can do the same work in 15 days. They started the work together but after 6 days Ajith left. Find, in how many days Vijay can complete the remaining work.15 days20 days10 days30 days
Raj and Ram working together do a piece of work in 10 days. Raj alone can do it in 12 days. Ram alone will do the work in?Options20 days50 days60 days40 days
X, Y and Z can complete a job in 10 days, 12 days, and 15 days respectively. They started working together and after some days, Y left. The remaining work was completed by X and Z. A total of ₹24,000 were paid as wages to the three. The wages paid to X were ₹8,000 more than those paid to Y. After how many days did Y leave?
Prakash has done 1/3rd of a job in 20 days, Jagan completes the rest of the job in 10 days. In how many days can they together do the job?
S can do a piece of work in 10 days and T in 30 days. They begin together but S leaves 3 days before the completion of the work. The remaining work will be done in how many days?6. 75 days11. 25 days8. 5 days15.5 day
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.