Numerical Appli...

Three pipes $$A, B$$ and $$C$$ can fill a tank from empty to full in $$30$$ minutes, $$20$$ minutes, and $$10$$ minutes respectively. When the tank is empty, all the three pipes are opened. $$A, B$$ and $$C$$ discharge chemical solutions $$P, Q$$ and $$R$$ respectively. What is the proportion of the solution $$R$$ in the liquid in the tank after $$3$$ minutes?

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

$$A$$ alone can do a piece of work in $$6$$ days and $$B$$ alone in $$8$$ days. $$A$$ and $$B$$ undertook to do it for Rs.$$3200$$. With the help of $$C$$, they completed the work in $$3$$ days. How much is to be paid to $$C$$?

If $$6$$ men and $$8$$ boys can do a piece of work in $$10$$ days while $$26$$ men and $$48$$ boys can do the same in $$2$$ days, the time taken by $$15$$ men and $$20$$ boys in doing the same type of work will be:

$$A, B$$ and $$C$$ can do a piece of work in $$20,30$$ and $$60$$ respectively. In how many days can $$A$$ do the work if he is assisted by $$B$$ and $$C$$ on every third day?

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in $$1\frac{2}{3}$$ hours, it must travel at a speed of:

In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?

$$A$$ takes twice as much time as $$B$$ or thrice as much time as $$C$$ to finish a piece of work. Working together, they can finish the work in $$2$$ days. $$B$$ can do the work alone in:

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is