Question

Reena can make a doll in 6 days, Meena in 10 days and Kavya in 15 days. Reena and Meena work
for 3 days. How long will it take Meena and Kavya to finish the work?​

Answer 1

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Answer 2

Let number of days be "M".

Reena make a doll in 6 days.

Doll made by Reena in 1 day = $\frac{1}{6}$

On the other hand Meena and Kavya made a doll in 10 and 15 days.

So in 1 day, doll made by Meena and Kavya is $\frac{1}{10}$ and $\frac{1}{15}$

Work done by Reena and Meena together yo make a doll in 1 day = $\frac{1M}{6}$ + $\frac{1M}{10}$

→ $\dfrac{5M\:+\:3M}{30}$

→ $\dfrac{8M}{30}$

→ $\dfrac{4M}{15}$

In 1 day both Reena and Meena make $\dfrac{4}{15}$ of the doll part.

Here.. M = 3

So, In 3 days = $\dfrac{4}{15}\:\times\:3$

→ $\dfrac{4}{5}$

$\frac{4}{5}$ part of the doll complete in 3 days.

Now, remaining part = $1\:-\:\dfrac{4}{5}$

→ $\dfrac{5\:-\:4}{5}$

→ $\dfrac{1}{5}$

Now,

Work done by both Meena and kavya to make a doll in 1 day to complete the remaining part of the doll = $\frac{1M}{10}$ + $\frac{1M}{15}$

→ $\dfrac{3M\:+\:2M}{30}$ = $\dfrac{1}{5}$

→ $\dfrac{5M}{30}$ = $\dfrac{1}{5}$

→ $\dfrac{1M}{6}$ = $\dfrac{1}{5}$

→ $M\:=\:\dfrac{6}{5}$

→ $M\:=\:1.2\:days$

∴ Meena and Kavya together finish the work in 1.2 days.