Pumps

First pump flows 16 liters per second into the basin by the second pump 75% of the first and by third pump half more than the second. How long will take fill basin by all three pumps simultaneously volume 15 m3 (cubic meters)?

Result

x =  326 s

Solution:


a = 16
b = 0.75 * a
c = 1.5 * b
16 x + 0.75* 16 * x + (0.75* 16 *x)(1+1/2) = 15*1000

a = 16
0.75a-b = 0
1.5b-c = 0
92x = 30000

a = 16
b = 12
c = 18
x = 750023 ≈ 326.086957

Calculated by our linear equations calculator.

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To solve this verbal math problem are needed these knowledge from mathematics:

Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? Do you know the volume and unit volume, and want to convert volume units?

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