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A and B start doing a work and complete it in 50 days. However

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$A$ and $B$ start doing a work and complete it in $50$ days. However if they carry out the work individually ,A takes $20$ days more than $B$ to finish the work alone. Can you write an equation to express this information. Also check if it is Quadratic in nature or not.

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$A$ and $B$ start doing a work and complete it in $50$ days. However if they carry out the work individually ,A takes $20$ days more than $B$ to finish the work alone. Can you write an equation to express this information. Also check if it is Quadratic in nature or not.

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Text solutionVerified

let time taken by A to complete the work be x days B takes

(x - 20)

days to complete the work

\frac{1}{x} + \frac{1}{x - 20} = \frac{1}{50}

\frac{x - 20 + x}{x ^{2} - 20 x} = \frac{1}{50}

100 x - 1000 = x^{2} - 20 x

x^{2} - 120 x + 1000 = 0

polynomial in degree

2

is quadratic

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Question Text	$A$ and $B$ start doing a work and complete it in $50$ days. However if they carry out the work individually ,A takes $20$ days more than $B$ to finish the work alone. Can you write an equation to express this information. Also check if it is Quadratic in nature or not.
Answer Type	Text solution:1
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A and B start doing a work and complete it in 50 days. However if they carry out the work individually ,A takes 20 days more than B to finish the work alone. Can you write an equation to express this information. Also check if it is Quadratic in nature or not.

Text solutionVerified

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$A$ and $B$ start doing a work and complete it in $50$ days. However if they carry out the work individually ,A takes $20$ days more than $B$ to finish the work alone. Can you write an equation to express this information. Also check if it is Quadratic in nature or not.