Question

Hiii Friends...
plzzzzz plzzz solve my problem..!

Answer 1

Answer:

6 days,12 days

Step-by-step explanation:

Let Nishu takes 'x' days to complete the work.

Then, Pintu completes the work in (x + 6) days.

Given that they together finish the work in 4 days.

⇒ (1/x) + (1/x + 6) = 1/4

⇒ (2x + 6)/x(x + 6) = 1/4

⇒ 4(2x + 6) = x(x + 6)

⇒ 8x + 24 = x² + 6x

⇒ x² - 2x - 24 = 0

⇒ x² + 4x - 6x - 24 = 0

⇒ x(x + 4) - 6(x + 4) = 0

⇒ (x - 6)(x + 4) = 0

⇒ x = 6, -4{Cannot be negative}

⇒ x = 6.

Therefore:

It would take 6 days for Nishu to complete work.

It would take 12 days for Pintu to complete work.

Hope it helps!

Answer 2

Question: Pintu takes 6 days more to complete a certain work than Nishu. Together they finish the work in 4 days. How many days would each take to complete that work if they work alone ?

Answer:

6 days and 12 days by Nishu and Pintu respectively.

Step-by-step explanation:

Let the number of days taken by Nishu to complete a work to be 'x'.

So, the number of days taken my Pintu would be 'x + 6'.

Together they complete work in 4 days. We would be using the concept of Efficiency to solve this question.

According to Question:-

$\frac{1}{x}$ + $\frac{1}{x+6}$ = $\frac{1}{4}$

$\frac{x+6+x}{(x)(x+6)}$ = $\frac{1}{4}$

$\frac{2x+6}{(x)(x+6)}$ = $\frac{1}{4}$

Cross Multiplication:-

4(2x+6) = x(x+6)

8x + 24 = x² + 6x

Transposing:-

x² + 6x - 8x - 24 = 0

x² - 2x - 24 = 0

Middle Term Splitting:-

x² - 6x + 4x - 24 = 0

x(x-6) + 4(x-6) = 0

(x - 6)(x + 4) = 0

So, x = 6 or -4

Days can't be negative. So, the number of days taken by Nishu would be 6 days and the number of days taken by Pintu would be 12 days !

$\large\boxed{\large\boxed{\large\boxed{Solved !}}}}$