Knowee
Questions
Features
Study Tools

of 1] Q20 of 30 Marks 1 General Instructions 110% ×CloseTest time left: 40:50Select the correct answerA can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is?Options12 hrs24 hrs18 hrs30 hrs

Question

of 1] Q20 of 30 Marks 1 General Instructions 110% ×CloseTest time left: 40:50Select the correct answerA can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is?Options12 hrs24 hrs18 hrs30 hrs

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

Solution

Let's solve this step by step:

  1. It is given that A and B can together do a piece of work in 9 hours 36 minutes, which is 9.6 hours. So, the combined rate of A and B is 1/9.6 work per hour.

  2. It is also given that C can do the work alone in 48 hours. So, the rate of C is 1/48 work per hour.

  3. According to the problem, A can do as much work as B and C together can do. This means that the rate of A is equal to the combined rate of B and C. So, we can write this as: Rate of A = Rate of B + Rate of C.

  4. Substituting the rates of A and C from steps 1 and 2 into step 3, we get: 1/9.6 = Rate of B + 1/48.

  5. Solving this equation for the rate of B, we get: Rate of B = 1/9.6 - 1/48 = 1/12 work per hour.

  6. Therefore, the time that B needs to do the work alone is the reciprocal of the rate of B, which is 12 hours.

So, the correct answer is 12 hours.

This problem has been solved

Similar Questions

A can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is?Options18 hrs24 hrs30 hrs12 hrs

Select the correct answerThe efficiencies of A, B and C are in the ratio of 5 : 3 : 2. Working together, they can complete a task in 21 hours. In how many hours will B alone complete 40% of that task?Options24283521

ect the correct answerA and B working together, can do a piece of work in 4 1/2hours. B and C working together can do it in 3 hours. C and A working together can do it in 2 1/4hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work?Options3 hours2·5 hours2 hours3·25 hours

Select the correct answerWorking alone A can do the task in 27 hours and B can do it in 54 hours. Find C’s share (in Rs) if A, B and C get paid Rs.4,320 for completing a task in 12 hours on which they worked together?Options960144019201280

A and B can do a piece of work in 45 and 40 days respectively. They began the work together but A left after some days and B finished the remaining work in 23 days. A left after

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.