plzz make equation and solve it with quadratic formula
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ANSWER
Two taps be A and B , A Larger Tap , B Smaller Tap
Together that will be filled the tank in A+B = 75/8 hrs...
In one hour tank will fill = 1/A + 1/B = 1 / (75/8) hrs...
Consider Smaller tap takes X hrs to fill tank
In one hrs it fill the tank , 1/B = 1 / X hrs
A takes individual to fill tank = X - 10 hrs
In one hrs it will fill the tank , 1/A = 1 / (X - 10)hrs
Then
1/A+1/B= 1/(75/8)
1/(X-10)+1/X= 8/75
X+X-10 / X(X-10) = 8/75
2X-10 / X^2 - 10X = 8/75
75×2X -75×10 = 8X^2 - 8× 10X
150X - 750 = 8X^2 - 80X
8X^2 - 230X + 750 = 0
Divided whole thing by 2
4X^2 - 115X + 375 = 0
4X^2 - 100X - 15X + (-25 × -15) = 0
4X (X - 25) - 15 ( X - 25) = 0
(4X - 15) ( X - 25) = 0
X - 25 = 0 , 4X - 15 = 0
X = 25 , X = 15 / 4
Smaller tap takes = 25 hrs
Larger tap takes = 25 - 10 hrs = 15 hrs..