Knowee
Questions
Features
Study Tools

Select the correct answerA can complete a work in 12 days, B in 15 days. Find the time taken by them. When A and B working together.Options6 1/36 2/35 2/35 1/3Finish ClearPrev Next

Question

Select the correct answerA can complete a work in 12 days, B in 15 days. Find the time taken by them. When A and B working together.Options6 1/36 2/35 2/35 1/3Finish ClearPrev Next

🧐 Not the exact question you are looking for?Go ask a question

Solution

The first step is to determine how much work A and B can do in a day.

A can complete the work in 12 days, so A can do 1/12 of the work in a day.

B can complete the work in 15 days, so B can do 1/15 of the work in a day.

When A and B work together, they can do (1/12 + 1/15) of the work in a day.

To find the common denominator of 12 and 15, we multiply them together to get 180.

So, A can do 15/180 of the work in a day and B can do 12/180 of the work in a day.

Together, A and B can do (15/180 + 12/180) = 27/180 of the work in a day.

To find out how many days it would take for A and B to complete the work together, we divide the total work (1) by the amount of work they can do in a day (27/180).

So, the time taken by A and B working together is 180/27 = 20/3 = 6 2/3 days.

Therefore, the correct answer is 6 2/3.

This problem has been solved

Similar Questions

Select the correct answerA can complete a work in 12 days, B in 15 days. Find the time taken by them: If A leaves two days before the scheduled completion of the work.Options9 4/79 1/69 5/69 2/3

Select the correct answerA can complete a work in 12 days, B in 15 days. When A and B worked alternatively, when started byOptions12 1/4days14 1/4days12 3/4days13 1/4days

Select the correct answerA takes 10 days less than the time taken by B to finish a piece of work. If both A and B can do it in 12 days, then the time taken by B alone to finish the work is?Options27 days30 days20 days25 days

Select the correct answerA and B together can do a piece of work in 12 days which B and C together do in 16 days. If A works for 5 days, B works for 7 days than C completes the remaining work in 13 days. In how much time B alone does the whole work?Options24 days48 days16 days12 days

Select the correct answerA can do a work in 36 days and B in 32 days. If they work on it together for 12 days, then what fraction of work is left?Options7/24134557/7211933

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.