Mathematics: Two pumps can fill a pool tank in 26 hours when working together. Alone, the second pump takes twice as long as the first to fill the tank. How long does it take the first pump alone to fill the tank?

Two pumps can fill a pool tank in 26 hours when working

treyvoniskewl

13.09.2021

Step-by-step explanation:

Let's say

d1 the outflow of the first pump

d2 the outflow of the second pump

V=1 is the volume of the tank

Since the second pump takes twice as long as the first to fill the tank,

$V=1=k*d_1*t\\V=1=k*d_2*(2*t)\\==\ d_1=2*d_2\\\\$

Two pumps can fill a pool tank in 26 hours when working together:

$V=1=k*(d_1+d_2)*26 \ == V=1=k*(3*d_2)*26 \ ==k=\dfrac{1}{3*d_2*26} \\\\$

How long does it take the first pump alone to fill the tank:

$V=1=k*d_1*t=k*2*d_2*t=k*3d_2*26\\2*t=3*26\\\\t=\frac{3*26}{2} \\\\t=3*13\\\\t=39\ (hours)$

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jennifer9983

12.04.2021

p - 6

step-by-step explanation

so you know that it cost $6 to see a movie you subtract p - 6 to get your answer

hope this !

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