The pool

The pool contains 220 m3 of water. Workers can empty the pool either:
a) 10 hours of pipe B and 8 hours of pipe A, or
b) 10 hours of pipe A and 7 hours of pipe B.

How many cubic meters of water will flow in 1 hour from pipe A, and how many from pipe B?

Correct answer:

A =  15
B =  10

Step-by-step explanation:


10·B + 8·A = 220
10·A + 7·B = 220

8A+10B = 220
10A+7B = 220

Pivot: Row 1 ↔ Row 2
10A+7B = 220
8A+10B = 220

Row 2 - 8/10 · Row 1 → Row 2
10A+7B = 220
4.4B = 44


B = 44/4.4 = 10
A = 220-7B/10 = 220-7 · 10/10 = 15

A = 15
B = 10

Our linear equations calculator calculates it.



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