Question

Lalita, Pooja and Kamna can together weave a saree in 4 days. Lalita alone can weave the same saree in 12 days and Pooja can weave alone in 10 days. How much time will kamna take to weave the same saree?​

Answer 1

Step-by-step explanation:

kamna take to weave a saree in 6days

Answer 2

Answer:

• Kamna will take 15 days to weave the same saree.

Step-by-step explanation:

Given that:

• Lalita, Pooja and Kamna can together weave a saree in 4 days.
• Lalita alone can weave the saree in 12 days.
• Pooja alone can weave the saree in 10 days.

To Find:

• How much days will Kamna take to weave the same saree?

Solution:

As we know that:

Days taken by Lalita, Pooja and Kamna to complete the work = 4 days

Days taken by Lalita to complete the work = 12 days

Days taken by Pooja to complete the work = 10 days

Now,

(Lalita + Pooja + Kamna)'s one day work = 1/4

Lalita's one day work = 1/12

Pooja's one day work = 1/10

Finding (Lalita + Pooja)'s one day work:

$\sf{(Lalita + Pooja)'s\; one\; day\; work =\dfrac{1}{12}+\dfrac{1}{10}}$

∵ LCM of 12 and 10 is 60.

$\sf{=\dfrac{5+6}{60}}$

$\sf{=\dfrac{11}{60}}$

Finding Kamna's one day work:

$\sf{Kamna's\; one\; day\; work =\dfrac{1}{4}-\dfrac{11}{60}}$

∵ LCM of 4 and 60 is 60.

$\sf{=\dfrac{15-11}{60}}$

$\sf{=\dfrac{4}{60}}$

Reducing the numbers,

$\sf{=\dfrac{4\div4}{60\div4}}$

$\sf{=\dfrac{1}{15}}$

Hence,

• Kamna's one day work 1/15.

Therefore,

• Kamna will complete the work in 15 days.