Maths

3 inlet pipes A,B and C can be used to fill 1000m^3 water storage tank . When 3 pipes are in operation,the tank can be filled in 10hours .When only pipes A and B are used,the time increases to 20 hours. With pipe A and C, the tank can be filled in 12.5 gourde. By using Gauss Jordan Elimination method, find the individual flow rate for each of the three pipe.

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  1. 1/a + 1/b + 1/c = 1/10
    1/a + 1/b = 1/20
    1/a + 1/c = 2/25

    Now just solve normally use GJ, but use 1/a, 1/b, 1/c as your variables. When you get the results, the values for a,b,c are the reciprocals.

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