If the efficiency of Q increases by $$ {33{1\over 3}{\%}}$$ and P and Q start to work together, while at the same time R starts destroying the work. Find in how many days work will be completed.

If A works alone, he would take 4 days more to complete the job than if both A and B worked together. If B worked alone, he would take 16 days more to complete the job than if A and B work together. How many days would they take to complete the work if both of them worked together?

A can do a piece of work in 24 day, B in 32 days and C in 64 days. All begin to do it together, but A leaves after 6 days and B leaves 6 days before the completion of the work. How many days did the work last?

P, Q, R are employed to do a work for Rs. 5750. P and Q together finished 19/23 of work and Q and R together finished 8/23 of work. Wage of Q, in rupees, is-

A is 50% more efficient than B. They together start the work and $$ {7\over 12}$$ th of work is left after 8 days. Find in what time B alone will complete the whole work.

X can complete a piece of work in thrice the time taken to complete Y and Z together. If X and Y together can complete the work in $${9{3\over 5}\ }$$days and Z alone complete in 16 days, then find the no of days taken to complete the work by X alone?

P, Q and R gets a total wage of Rs.3600 if they work together. P and Q gets a total wage of Rs. 2800 if they work together and P alone gets Rs.1600. Find the efficiency ratio of P, Q and R  

A, B and C alone can complete a piece of work in 24, 36 and 18 days respectively. A started working, after 2 days C joins with them and B joins with them after another 2 days, then find the no of days A, B and C worked together.