A can do a piece of work in 4 hours. B and C can do the same piece of work together in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?Marks : 1Negative Marks : 0Answer here12638
Question
A can do a piece of work in 4 hours. B and C can do the same piece of work together in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?Marks : 1Negative Marks : 0Answer here12638
Solution
To solve this problem, we need to find the rates at which A, B, and C work.
- A can do the work in 4 hours, so A's rate of work is 1/4 of the work per hour.
- B and C together can do the work in 3 hours, so their combined rate is 1/3 of the work per hour.
- A and C together can do the work in 2 hours, so their combined rate is 1/2 of the work per hour.
We can set up the following equation to find B's rate of work:
(A's rate) + (B's rate) = (A and C's rate) + (B and C's rate)
Substituting the known rates, we get:
1/4 + B's rate = 1/2 + 1/3
Solving for B's rate, we find that B's rate is 1/12 of the work per hour.
Therefore, B alone will take 12 hours to do the work.
Similar Questions
A 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?
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
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:4 days6 days8 days12 days
Select the correct answerA takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is?Options961009590
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?a.4 daysb.5 daysc.20 daysd.10 days
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.