Answer to Question #210305 in Quantitative Methods for Maryam

Question

Two neighbouring farmers, Farmer A and Farmer B,have to flood their fields on the same day. Each use one lock in the conservancy dam to supply his field with water. The lock at Farmer B field, however, has a faster flow rate than that at Farmer A’s. In addition, Farmer B opened his lock 30 minutes later than Farmer A did his. 

Question: When would the two fields have been supplied with the same volume of water?

To solve this problem, you need to use matrix methods.

Determine whether the coefficient matrix is well conditioned or not.

You need to also advise on the bound on the relative error of your solution.

What assumptions, if any, you had to make?