DATE
Work sheet 1
List some of objects which have
wheel Name 8
Answers
Answer:
Answer:
✰ 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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Answer:
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