Question

Shweta takes 6 days less than the number of days taken by ankita to complete a piece of work if both sweater and ankita together can complete the same work in 4 days in how many days will ankita alone complete the work

Answer 1

Answer:

Step-by-step explanation:

Let ankit takes x days

then Shweta takes x+3 days

both take 4 days

so 4*(1/x+1/(x+3)=1

4(x+3+x)/x(x+3)=1

4(2x+3)=x(x+3)

8x+6=x²+3x

x²-5x-6=0

(x-6)(x+1)=0

x=6 or -1 the days can not be -ve

so x=6

Hence Ankita alone complete the work in 6 days

Answer 2

Anita can complete work in 2 days or 12 days

Step-by-step explanation:

Let x be the no. of days taken by ankita to complete piece of work

Shweta takes 6 days less than the number of days taken by ankita

So, Shweta can complete work in days = x-6

Anita's 1 days work = $\frac{1}{x}$

Shweta's 1 day work =$\frac{1}{x-6}$

Anita and Shweta can do work together in 1 day = $\frac{1}{x}+\frac{1}{x-6}$

We are given that Shweta and ankita together can complete the same work in 4 days

So,Their together 1 day work =$\frac{1}{4}$

So, $\frac{1}{x}+\frac{1}{x-6}=\frac{1}{4}$

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

$4(2x-6)=x^2-6x$

$8x-24=x^2-6x\\x^2-6x-8x+24=0\\x^2-14x+24=0\\x^2-12x-2x+24=0\\x(x-12)-2(x-12)=0\\(x-2)(x-12)=0$

x=2,12

Anita can complete work in 2 days or 12 days

#Learn more:

If Neeta can knit a sweater in 8 days and Kriti can knit a similar sweater in 12 days .If both of them and Radha knit 6 sweaters in 16 days in how many days will Radha alone knit a sweater

https://brainly.in/question/8457003