Arun Sharma Solutions for Exercise 1: Level of Difficulty

There are three Taps $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$in a tank. They can fill the tank in $10 \mathrm{hrs}, 20 \mathrm{hrs}$ and $25 \mathrm{hrs}$ respectively. At first, all of them are opened simultaneously. Then after $2 \mathrm{hours}$, tap $\mathrm{C}$is closed and $\mathrm{A}$and $\mathrm{B}$are kept running. After the $4th$hour, tap $\mathrm{B}$is also closed. The remaining work is done by Tap $\mathrm{A}$alone. Find the percentage of the work done by Tap $\mathrm{A}$by itself. 

A $50 \mathrm{x} 35 \mathrm{m}$ fishing pond was dug by $250$workers in $18$days. The number of days in which a $70 \mathrm{m} \mathrm{x} 40 \mathrm{m}$pond having the same depth can be dug by $300$workers is?

The wages of men and $4$women amount to $₹3500$ per week and the wages of $5$men and $3$women to *$₹ 2275$per week . Find the daily wages of a man (in rupees, assuming that the wages for a week are paid on the basis of $7$7 day weeks):

$5$ women can paint a building in $30$working hours. After $16$hours of work, $2$women decided to leave. How many hours will it take for the work to be finished?

A certain number of men complete a piece of work in $60$days. If there were $8$men more the work could be finished in $10$days less. How many men were originally there?

In a garrison, there was food for $1000$soldiers for one month. After $10$days, $1000$more soldiers joined the garrison. How many days would the soldiers be able to carry on with the remaining food?

The tank-full petrol in Ajay's motor-cycle lasts for $10$10 days. If he starts using $25\%$ more every day, how many days will the tank-full petrol last?

A cistern has two pipes. One can fill it with water in $8$hours and other can empty it in $5$hours. In how many hours will the cistern be emptied if both the pipes are opened together when $\%$of the cistern is already full of water?