Tributaries 7857

Two hundred forty liters of water flow into the tank from 6 tributaries in 6 minutes. The wider one will flow 20 liters more in 9 minutes than the narrower one in 11 minutes. How many liters of water flow out of each inflow in 1 minute?

Correct answer:

a =  23
b =  17

Step-by-step explanation:


6·(a+b) = 240
9a =20 + 11b

6·(a+b) = 240
9·a =20 + 11·b

6a+6b = 240
9a-11b = 20

Pivot: Row 1 ↔ Row 2
9a-11b = 20
6a+6b = 240

Row 2 - 6/9 · Row 1 → Row 2
9a-11b = 20
13.33b = 226.67


b = 226.66666667/13.33333333 = 17
a = 20+11b/9 = 20+11 · 17/9 = 23

a = 23
b = 17

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