Answer:

Step-by-step explanation:
The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.
<u>1. Inlet rate:</u>

<u />
<u>2. Outlet rate:</u>

<u>3. Net rate:</u>

<u>4. Time to fill the vat</u>


Segment A is a linear constant. In general a linear constant will be y=k for a horizontal line or x=k for a vertical line.
Let's first find out their factors.
90's factors are :

190's factors are :

The common factors of 90 and 190 are :
1,2,5 and 10.
The greatest one among these is, 10. So the greatest factor of 90 and 190 is 10.