Question

A can do a piece of work in 6 days. b takes 8 days and c takes as long as a and b would take working together.b and c working together will complete the work in

Answer 1

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Answer 2

Answer: Number of days B and C needs to finish the work together is $2\frac{2}{5}\ days$

Step-by-step explanation:

Since we have given that

Number of days in which A can do a piece of work = 6 days

Number of days in which B can do a piece of work = 8 days

According to question, C takes as long as 'A' and 'B' would take working together.

So, Number of days in which C can do a piece of work is given by

$\frac{1}{6}+\frac{1}{8}\\\\=\frac{4+3}{24}\\\\=\frac{7}{24}=\frac{24}{7}\ days$

Now, Number of days B and C needs to finish the work together is given by

$\frac{1}{8}+\frac{7}{24}\\\\=\frac{3+7}{24}\\\\=\frac{10}{24}\\\\=\frac{24}{10}\ days\\\\=2\frac{2}{5}\ days$

Hence, Number of days B and C needs to finish the work together is $2\frac{2}{5}\ days$