Working together, two identical water pumps can fill a pull in 10 hours. determine whether quantities (number of pumps and hours) vary directly or inversely and find the constant of variation.

The number of pumps and hours) vary inversely.

The constant of variation is 20.

Step-by-step explanation:  

Let x be number of pumps and y be number of hours.

We have been given that working together, two identical water pumps can fill a pull in 10 hours. This means while working alone the pumps will take 2 times as much time to fill the tank.

As we increase number of pumps (x), number of hours (y) is decreasing and as we decrease x our y is increasing, therefore, number of pumps (x) and hours (y) vary inversely.

Since we know that an inversely proportion equation is in form: , where, k is constant of variation.

Upon substituting our given values in above equation we will get,

Upon multiplying both sides of our equation by 2 we will get,

Therefore, the constant of variation is 20.

1 is c

2 is a

3 is a

step-by-step explanation:

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step-by-step explanation: