Question

Amutha can weave a saree in 18days.Anjali is twice as good weaver as Amutha.If both of them weave together,in how many days can they complete weaving the saree?

Answer 1

Answer:

Both of them can complete work together in 6 days .

Step-by-step explanation:

Given as :

Amutha can weave a saree in 18 days

Anjali is twice as good weaver as Amutha

Let Both of them can complete work together in n days

According to question

∵ Anjali is twice as good weaver as Amutha

So, As Amutha complete work in 18 days

∴ Anjali will complete work in $\dfrac{18}{2}$ = 9 days

Now, Again

The work done by both of them in n days = work done by Amutha is 18 days + work done by Anjali in 9 days

i.e $\dfrac{1}{n}$  = $\dfrac{1}{18}$   +  $\dfrac{1}{9}$

Or, $\dfrac{1}{n}$  = $\dfrac{1 + 2}{18}$

Or, $\dfrac{1}{n}$  = $\dfrac{3}{18}$

Or, $\dfrac{1}{n}$  = $\dfrac{1}{6}$

∴  n = 6 days

So, Both of them can complete work together in n = 6 days

Hence, Both of them can complete work together in 6 days . Answer