Question

तुमच्या शाळेमध्ये दिवाळीनिमित्त "आकाश
कदिन बनविण्याची कार्यशाळा दि.12 नोव्हेंबर
रोजी घेण्यात येणार आहे त्यात तुम्हाला
सहमागी करून घेण्याची विनंती करणारे पत्र
वगशिक्षकांना लिहा​

Answer 1

Step-by-step explanation:

✰ Given :-

Yogesh require 3 days more than Vivek to do work. If both of them work together, the work can be completed in 2 days.

✰ To Find :-

How many days require by each of them to complete the work.

✰ Solution :-

⋆ Let, Vivek do complete the work in x days.

⋆ Then, Yogesh do complete the work in x + 3.

➣ According to the question :-

↣ \dfrac{1}{x}

x

1

+ \dfrac{1}{x + 3}

x+3

1

= \dfrac{1}{2}

2

1

↣ \dfrac{x + 3 + x}{x(x + 3)}

x(x+3)

x+3+x

= \dfrac{1}{2}

2

1

↣ \dfrac{2x + 3}{x² + 3x}

x²+3x

2x+3

= \dfrac{1}{2}

2

1

↣4x + 6 = x² + 3x

↣x² + 3x - 4x - 6 = 0

↣x² - x - 6 = 0

↣x² - (3 - 2)x - 6 = 0

↣ x² - 3x + 2x - 6 = 0

↣ x(x - 3) + 2(x - 3) = 0

↣ (x - 3) (x + 2) = 0

↣ x = 3 , x = - 2

Here x = 3, - 2 but time can not be negetive.

\therefore∴ ➙ Number of days require Vivek to complete the work = x = 3 days

➙ Number of days require Yogesh to complete the work= x + 3 = 3 + 3 = 6 days.

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