6 pumps are required to fill a water sump in 1 hr 30 minutes. What will be the time taken to fill the sump if one pump is switched off?

Two water taps together can fill a tank in 9(3)/(8) hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

A pump on the ground floor of a building can pump up water to fill a tank of volume 30 m^3in 15 min. If the tank is 40 m above the ground, how much electric power is consumed by the pump. The efficiency of the pump is 30%

Students can construct their own aquaponic system with materials available in their laboratory. An old aquarium or any water tight container can be converted into simple aquaponics system Materials Required: Aquarium tank/ any water tight container, a floating Styrofoam platform (thermocol), growing medium-coconut fibre. An air pump and air stone, nutrient solution (vermiwash or can buy commercially available nutrient solution), plastic cups and seeds. Cut a floating thermocol platform to fit the tank. Make holes on the platform to insert plastic cups with the growing medium. Fill the aquarium tank with water and nutrients. An air pump supplies air to the air stone that bubbles the nutrient solution and supplies oxygen to the roots. Place the floating platform on top of the nutrient solution and place the plastic cups with plants into the holes in the platform. Now your simple hydroponics system is ready to build a aquaponic system fishes can be introduced into the tank instead of nutrient solution.

A tank contains 5000 litres of pure water. Brine (very salty water) that contains 30 grams of salt per litre of water is pumped into the tank at a rate of 25 litres per minute. The concentration of salt water after t minutes (in grams per litre) is C(t) = (30t)/(200 + t) . What happens to the concentration as t rarr oo ?

A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines to manufacture a package of screws A while its takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs. 7 and screws B at a profit of Rs. 10 Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximise his profit ? Determine the maximum profit.

A and B are two separate reservoirs of water. Capacity of reservoir A is double the capacity of reservoir Bdot Both the reservoirs are filled completely with water, their inlets are closed and then the water is released simultaneously from both the reservoirs. The rate of flow of water out of each reservoir at any instant of time is proportional to the quantity of water in the reservoir at the time. One hour after the water is released, the quantity of water is reservoir A is 1 1/2 times the quantity of water in reservoir Bdot After how many hours do both the reservoirs have the same quantity of water?

Seenu’s house has an overhead tank in the shape of a cylinder. This is filled by pumping water from a sump (underground tank) which is in the shape of a cuboid. The sump has dimensions 2m xx 1.5m xx 1m . The overhead tank has its radius of 60 cm and height 105 cm. Find the volume of the water left in the sump after the overhead tank has been completely filled with water from the sump which has been full, initially.

A tank contains 5000 litres of pure water. Brine (very salt water) that contains 30 grams of salt per litre of water is pumped into the tank at a rate of 25 litres per minute. The concentration of salt water after t minutes (in grams per litre) is C(t)=(30t)/(200+t) .What happens to the concentration as t to infty

A tank contains 5000 litres of pure water. Brine (very salty water) that contains 30 of salt per litre of water is pumped into grams the tank at a rate of 25 litres per minute. The concentration of salt water after t minutes (in grams per litre) is C(t)=(30t)/(200+t) .What happens to the concentration as trarrinfty ?