Question

A, B and C can cultivate a field in 10, 12 and 15 days respectively if they work together in how many days will they finish the work and what fraction of the work will each of them do

Answer 1

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Answer 2

Answer:

Together they can complete work in 4 days and fraction of work done by A is $\frac{2}{5}$ , by B is $\frac{1}{3}$ and by C is $\frac{4}{15}$.

Step-by-step explanation:

A can cultivate a field in days = 10

A can do a part of work in 1 day = $\frac{1}{10}$

B can cultivate a field in days = 12

B can do a part of work in 1 day = $\frac{1}{12}$

C can cultivate a field in days = 15

C can do a part of work in 1 day = $\frac{1}{15}$

So, together they can do a part of work in 1 day = $\frac{1}{10}+\frac{1}{12}+\frac{1}{15}$

                                                                                 = $\frac{1}{4}$

So, they can do together $\frac{1}{4}$ part of work in days = 1

So, they can do together  work in days = $\frac{1}{\frac{1}{4}}= 4 days$

So, together they can cultivate a field in 4 days.

A can do a part of work in 1 day = $\frac{1}{10}$

So,A can do a part of work in 4 days = $\frac{4}{10} = \frac{2}{5}$

B can do a part of work in 1 day = $\frac{1}{12}$

so,B can do a part of work in 4 days = $\frac{4}{12}=\frac{1}{3}$

C can do a part of work in 1 day = $\frac{1}{15}$

So,C can do a part of work in 4 day = $\frac{4}{15}$

Hence together they can complete work in 4 days and fraction of work done by A is $\frac{2}{5}$ , by B is $\frac{1}{3}$ and by C is $\frac{4}{15}$.