Math, asked by kavana73, 1 year ago

anyone fast answer this question ??

0 the question please ^_^^_^​

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Answered by Itsmine
2
These is the answer
Thanks for asking these question
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kavana73: tq u
Itsmine: it's ok
Answered by lastbenchstudent
2

let assume smaller tap can fill tank in x hours

then larger tab will fill tank in x-10 hours

in 1 hour smaller tap alone can fill = 1/x part of tank

in 1 hour larger tap alone can fill = 1/(x-10) part of tank

in 1 hour both can fill = 1/x + 1/(x-10) part of tank

given

in 75/8 hour both fill = full tank

in 1 hour both will fill = 1/(75/8) = 8/75 part of tank

equating both

1/x + 1/(x-10) = 8/75

(x-10+x)/(x^2-10x) = 8/75

(x-10 + x) × 75 = 8×^2 - 80x

150x - 750 = 8x^2 -80x

8x^2 -80x -150x + 750 = 0

8x^2 - 230x + 750 =0

4x^2 - 115x + 375 =0

4x^2 - 100x - 15x + 375 =0

4x( x - 25) -15(x - 25) = 0

(4x -15)(x -25)=0

x = 15/4, x =25

x = 15/4 is not valid as x - 10 will go negative

so x =25

larger tap time = x - 10 = 25-10 = 15


kavana73: thx
lastbenchstudent: please mark it as brainliest
kavana73: sorry your late...:-(
lastbenchstudent: its ok. thanks
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