time and work

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 there originally?

time and work

16 men can do a piece of work in 16 days. 4 days after they started the work, eight more men joined them. How many days will they take now to complete the work?

pipes and cistern

A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 24 hours. How many liters does the cistern hold?

pipes and cisterns

Three pipes A, B and C can fill a tank in 6 hours. All the three pipes are kept open for 2 hours, C is then closed and A and B fills the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is ................

pipes and cisterns

A tank is filled in 10 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

pipes and cisterns

Three pipes A, B and C can fill up a tank from empty to full in 10 minutes, 20 minutes, and 30 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 P in the liquid in the tank after 6 minutes?

time and work

two pipes running together can fill up a cistern in 40/13 mins. If one pipe takes 3 mins more than the other to fill the cistern, find the time in which each time would fill the cistern?

time and work

Pipe A can fill a tank in 3 hours less than pipe B. they together can fill the tank in 6 hours and 40 mins. find the time each tank will take to fill the tank.

time and work

A tank can be filled by one tap in 20 mins and by another tap in 25 mins.Both the taps are kept open for 5 mins and then the second tap is turned off. In how many minutes more is the tank completely filled?

16-time and work

A can do a piece of work in 9 days and B can do a piece of work in 12 days respectively. If they work only on alternate days, then how many days will it take for the work to get completed?

 

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15-chain rule / time and work

If 10 workers can dig a trench 23/4 feet long in one day, then how many workers will be required to dig a trench 23 feet long in 3 days time?

14-chain rule / time and work

For a certain job, 60 days are required for a group of men. If 8 more are added to the group, then it would take 10 less days to complete the job. How many men were there initially?

13-chain rule / time and work

8 men or 12 boys can do a piece of work in 50 days. In how many days will 11 boys and 6 men do the job?

12-chain rule / time and work

6 men or 12 boys can do a piece of work in 40 days. In how many days will 16 boys and 24 men do the job?

11-time and work / chain rule

For a certain job, 40 days are required for a group of men. If 12 out of the group never turned up for the job, then it took the remaining men 64 days to get the job completed. How many men were there initially?

10-chain rule / time and work

A student hostel has 280 students. It has ration for 20 days. 40 students leave for home on Christmas after 8 days of staying together. How many days will the ration last?

9- chain rule / time and work

3 men or 5 boys can do a piece of work in 30 days. In how many days will 5 boys and 12 men do the job?

8-Time and work

If 3 men, or 4 boys or 6 women take 10 days to do the job, how much time would they take to complete the same job working together? 

Tank and Cistern

There is a leak at the bottom of a tank. The leak can empty a full tank in 6 hours. A inlet pipe to the tank fills the tank at 4Litres/min. When the tank is full, the inlet pipe is opened, but due to the leak the tank is emptied out in 8 hours. What is the capacity of the tank?

Ans:

Volume of water added to the tank in 8 hours = 4 x 60 x 8 = 1920 Litres.

Volume of  extra water removed  during the additional 2 hours

= 1920 litres.

So, water removed in 6 hours = (1920/2) x 6 = 5760 litres.

So, volume of tank = 5760 litres.

7-time and work

Machine A and B produce 8000 clips in 4 hr and 6 hr respectively. They work alternately for 1 hour. Starting first with A, then 8000 chips will be produced in ..........................hours.