Advertisements
Advertisements
Question
A can do a piece of work in 12 hours, B and C can do it 3 hours whereas A and C can do it in 6 hours. How long will B alone take to do the same work?
Advertisements
Solution
Time taken by A to complete the work = 12 hours.
∴ A’s 1 hour work = `1/12` ...(1)
(B + C) complete the work in 3 hours.
∴ (B + C)’s 1 hour work = `1/3` ...(2)
Add (1) and (2)
∴ (A + B + C)’s 1 hour work = `1/12 + 1/3`
= `(1 + 4)/12`
= `5/12`
Now (A + C) complete the work in 6 hours.
∴(A + C)’s 1 hour work = `1/6`
∴ B’s 1 hour work = (A + B + C)’s 1 hour work – (A + C)’s 1 hour work
= `5/12 - 1/6`
= `(5 - 2)/12`
= `3/12`
= `1/4`
∴ B alone take 4 days to complete the work.
APPEARS IN
RELATED QUESTIONS
A can do a work in 24 days. If A and B together can finish the work in 6 days, then B alone can finish the work in ________ days
A alone can do a piece of work in 35 days. If B is 40% more efficient than A, then B will finish the work in ___________ days
A alone can do a work in 10 days and B alone in 15 days. They undertook the work for ₹ 200000. The amount that A will get is ________
210 men working 12 hours a day can finish a job in 18 days. How many men are required to finish the job in 20 days working 14 hours a day?
A cement factory makes 7000 cement bags in 12 days with the help of 36 machines. How many bags can be made in 18 days using 24 machines?
A soap factory produces 9600 soaps in 6 days working 15 hours a day. In how many days will it produce 14400 soaps working 3 more hours a day?
A and B can do a piece of work in 12 days, while B and C can do it in 15 days where as A and C can do it in 20 days. How long would each take to do the same work?
Carpenter A takes 15 minutes to fit the parts of a chair while Carpenter B takes 3 minutes more than A to do the same work. Working together, how long will it take for them to fit the parts for 22 chairs?
A can do a work In 45 days. He works at it for 15 days and then, B alone finishes the remaining work in 24 days. Find the time taken to complete 80% of the work, if they work together
If the numerator of a fraction is increased by 50% and the denominator is decreased by 20%, then it becomes `3/5`. Find the original fraction
