On Wednesday, the employee gets a second hose and is able to fill the tank twice as fast as Monday. They start filling the tank at exactly 12:00 p.m. The function 푊 models the height of the water in the tank, 푊(푥), in inches, 푥 seconds after 12:00 p.m as it fills. Write an algebraic equation for 푊. Explain how you arrived at this equation.

A water tank initially holds 100L of water. It springs a leak so that water leaks out at a rate of𝐹(𝑡)=−3𝑒−0.2𝑡Litres per second, where 𝑡 is the number of seconds since the leak developed.1. Write an equation for the volume 𝑉 of water in the tank at time 𝑡. Simplify your answer.𝑉(𝑡)=

A rectangular water tank measures 2.5m long, 2.4m wide and 2.1m high. The tank contained some water up to a height of 1.21m.An inlet pipe was opened and water let to flow into the tank at a rate of 8 litres per minute. After one hour, a drain pipe was opened and water allowed to flow out of the tank at a rate of 6 litres per minute.Calculatei. The height of water in tank after 3 hours.ii. The total time taken to fill up the tank.

Three filling pipes, R, S and T, together, can fill an empty tank in two hours. S can fill the tank four times as fast as T. Initially, R alone is opened and after exactly x hours, it is closed and immediately S and T are opened together. The tank is full after exactly another y hours. If the tank was filled in a total of 4 hours, and x ≠ y, find the time (in hours) that T alone would take to fill the tank.6201224

Pipe X and Y can fill a tank in 10 minutes and 20 minutes respectively. If both the pipes are opened simultaneously, then the time taken to fill the tank is how much?

The dimensions of a rectangular water tank are 10 m x 200 m x 6 m. If it is filled with a rectangular pipe of dimension 1 m x 1 m at a speed of 6 km/h, then in how much time will the water rise by 2 m?  Ops:   A. 48 minutes    B. 55 minutes    C. 44 minutes    D. 40 minutes