Question 1111270
Suppose it takes the large hose x hours to fill the pool by itself. Then the
work rate of the large hose is 1/x. Similarly, suppose it takes the small hose y hours to fill the pool by itself. Then the work rate of the small hose is 1/y.

Using the constraints in the problem, write a system of simultaneous equations:


(3/x)+(8/y)=1/2


(10/x)+(10/y)=1


Solve the system of equations to find the values of x and y.