Question

A can do a piece of work in 6 days and B can do the same work in 12 days. How many

days will they take to do it together?​

Answer 1

Answer:

maybe 18 days.... the both will take to do it together

Answer 2

Given:

• A can do a piece of work in 6 days.
• B can do the same work in 12 days.

To Find:

• In how many days they both will complete work together.

Solution:

$\therefore$The work done by A in one day = 1/6

$\because$The work done by B in one day=1/12

Let they together take x no. of days.

The work done by both of them in one day = 1/x

According to the question,

$\: \: \sf \: \frac{1}{6} + \frac{1}{12} = \frac{1}{x} \\ \\ \: \sf \: \frac{2 + 1}{12} = \frac{1}{x} \\ \\ \: \: \sf \: \frac{3}{12} = \frac{1}{x} \\ \\ \: \sf \: 3x = 12 \\ \\ \: \sf \dagger \therefore \: x = 4$

$\therefore$

Therefore,they together take 4 days to complete a piece of work.

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