Numerical Appli...

The sum of five numbers is $$555$$. The average of first two numbers is $$75$$ and the third number is $$115$$. What is the average of the last two numbers?

A tank can be filled by a tap in $$20$$ minutes and by another tap in $$60$$ minutes. Both the taps are kept open for $$10$$ minutes and then the first tap is shut off. After this, the tank will be completely filled in

An electric pump can fill a tank in $$3$$ hours. Because of a leak in the tank, it took $$3\displaystyle\frac { 1 }{ 2 }$$ hours to fill the tank. In how much time can the leak drain all the water of the tank?

$$A$$ and $$B$$ can do a job in $$12$$ days and $$B$$ and $$C$$ can do it in $$16$$ days. After $$A$$ has been working for $$5$$ days and $$B$$ for $$7$$ days, $$C$$ finishes rest of the work in $$13$$ days, in how many days can C do the work alone ?

$$A$$ can do a piece of work in $$7$$ days of $$9$$ hr each and $$B$$ can do it in $$6$$ days of $$7$$ hr each. How long will they take to do it working together $$\displaystyle \frac{42}{5}$$ hr a day?

Machines $$A$$ and $$B$$ produce $$8,000$$ clips in $$4$$ hr and $$6$$ hr respectively. If they work alternately for $$1$$ hr A starting first, then the $$8,000$$ clips will be produced in:

Ronald and Elan are working on an assignment Ronald takes $$6$$ hours to type $$32$$ pages on a computer while Elan takes $$5$$ hours to type $$40$$ pages. How much time will they take working together on two different computers to type an assignment of $$110$$ pages ?

$$36$$ men can complete a piece of work in $$18$$ days. In how many days will $$27$$ men complete the same work?

$$A$$ does $$\displaystyle \frac{4}{5}$$th of 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 ?

$$A$$ can do a certain work in the same time in which $$B$$ and $$C$$ together can do it. If $$A$$ and $$B$$ together could do it in $$10$$ days and $$C$$ alone in $$50$$ days, then $$B$$ alone could do it in