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

Answer:

2 days

Step-by-step explanation:

Reena can make a doll in 6 days

She can complete a part of work in 1 day = $\frac{1}{6}$

Meena  can make a doll in 10 days

She can complete a part of work in 1 day = $\frac{1}{10}$

Kavya can make a doll in 15 days

She can complete a part of work in 1 day = $\frac{1}{15}$

Reena and Meena work for 3 days

Reena and Meena together can do part of work in 1 day = $\frac{1}{6}+\frac{1}{10}$

                                                                                            = $\frac{8}{30}$

Reena and Meena together can do part of work in 3 days = $\frac{8}{30} \times 3$

                                                                                          = $\frac{8}{10}$

So, Part of work remaining = $1-\frac{8}{10}=\frac{2}{10}$

Meena and Kavya together can do part of work in 1 day = $\frac{1}{10}+\frac{1}{15}=\frac{5}{30}$

Meena and Kavya together can do $\frac{5}{30}$ of work in days = 1

Meena and Kavya together can do complete work in days =  $\frac{1}{\frac{5}{30}} =6$

Meena and Kavya together can do $\frac{2}{10}$ of work in days=  $6 \times \frac{2}{10}=\frac{12}{10} =1.2$

Thus it will take approximately two days for Meena and kavya to finish the work.