How much Can Each Pump Remove in 1 Hour? Equation Solution

[allenh]

If a first pump is used for 2.2 hours and a second pump is used used for 2.7 hours,32m cube can be removed from a waste water holding tank. If the first pump is used for 1.4 hours and the second pump used for 2.5 hours,24m cube can be removed. How much can each pump remove in 1 hour ?.
What is the result to two significant digits ?

 

[Office_Shredder]

This should be in the homework section, and it's not really a differential equation

Start by writing down the speed of each pump (in meters cubed/hour), say v₁ and v₂. You should be able to write down two linear equations with these variables

 

[tacman]

To find the amount each pump can remove in 1 hour, we can set up a system of equations:

2.2x + 2.7y = 32
1.4x + 2.5y = 24

Where x is the amount the first pump can remove in 1 hour and y is the amount the second pump can remove in 1 hour.

Solving this system of equations, we get x = 8 and y = 6.67. This means that the first pump can remove 8m cube in 1 hour and the second pump can remove 6.67m cube in 1 hour.

To find the result to two significant digits, we can round these values to the nearest hundredth. Therefore, the first pump can remove 8.00m cube in 1 hour and the second pump can remove 6.67m cube in 1 hour.