Numerical Appli...

$$A$$ can finish a work in $$18$$ days and $$B$$ can do the same work in $$15$$ days. $$B$$ worked for $$10$$ days and left the job. In how many days, $$A$$ alone can finish the remaining work?

$$A$$ works twice as fast as $$B$$. If $$B$$ can complete a work in $$12$$ days independently, the number of days in which $$A$$ and $$B$$ can together finish the work in:

$$A$$ and $$B$$ can complete a work in $$15$$ days and $$10$$ days respectively. They started doing the work together but after $$2$$ days $$B$$ had to leave and $$A$$ alone completed the remaining work. The whole work was completed in:

$$A$$ does $$80$$% of a work in $$20$$ days. He then calls in $$B$$ and they together finish the remaining work in $$3$$ days. How long $$B$$ alone would take to do the whole work?

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

$$4$$men and $$6$$ women can complete a work in $$8$$ days, while $$3$$ men and $$7$$ women can complete it in $$10$$ days. In how many days will $$10$$ women complete it?

$$A$$ can finish a work in $$24$$ days, $$B$$ in $$9$$ days and $$C$$ in $$12$$ days. $$B$$ and $$C$$ start the work but are force to leave after $$3$$ days. The remaining work was done by $$A$$ in:

$$A$$ and $$B$$ can do a piece of work in $$30$$ days, while $$B$$ and $$C$$ can do the same work in $$24$$ days and $$C$$ and $$A$$ in $$20$$ days. They all work together for $$10$$ days when $$B$$ and $$C$$ leave. How many days more will $$A$$ take to finish the work?

$$X$$ can do a piece work in $$40$$ days. He works at it for $$8$$ days and then $$Y$$ finished it in $$16$$ days. How long will they together take to complete the work?

$$A$$ and $$B$$ can do a work in $$8$$ days, $$B$$ and $$C$$ can do the same work in $$12$$ days. $$A,B$$ and $$C$$ together can finish it in $$6$$ days. $$A$$ and $$C$$ together will do it in: