Bissoy.com
Doctors Medicines MCQs Q&A

A alone can do a piece of work in 10 days, A and B together can do the same piece of work in 20/3 days. A, B and C together can do the same piece of work in 40/7 days. In how many days can B and C together do the same piece of work?

A alone can do a piece of work in 10 days, A and B together can do the same piece of work in 20/3 days. A, B and C together can do the same piece of work in 40/7 days. In how many days can B and C together do the same piece of work? Correct Answer <span class="math-tex">\(\frac{{40}}{3}\)</span>

A = 10 days

⇒ A + B = 20/3 days

⇒ A + B + C = 40/7 days

L.C.M. of 10, 20/3 and 40/7 is 40 (total work).

⇒ Efficiency of A = 40 ÷ 10 = 4      ---- (1)

⇒ Efficiency of A + B = 40 ÷ 20/3 = 6

⇒ Efficiency of A + B + C = 40 ÷ 40/7 = 7     ---- (2)

From (2) – (1)

⇒ Efficiency of B + C = 7 – 4 = 3

⇒ B and C together do the same piece of work = 40/3 days

∴ B and C together do the same piece of work in 40/3 days.

Related Questions

A and B together work for 3 days, B then worked alone for 2 days, A then worked alone for 3 days and the work was finished. If A works for 8 days alone and B works for 4 days alone, the work will be finished. How many days will A alone work if B works for 5 days alone?
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: A can do a piece of work in 10 days and B can do the same work in 15 days. They start working together and after 4 days, A left the work. Find in how many days the total work will be completed. Quantity B: P can do a piece of work in 15 days and Q can do the same work in 25 days. They start working together and after 5 days, Q left the work. Find in how many days the remaining work will gets completed.
Choose the correct option from the following Quantity I: If A and B can do a piece of work in 10 days, B and C in 12 days and if all three are together then said work is done in 8 days. In how many days would C and A complete the work if working together? Quantity II: A can do a piece of work in 2/5th of work in 10 days and B can do 1/2 of the same work in 8 days. If both of them are working together then in how many days would the work get completed?
P alone can complete the work in 12 days and Q alone can complete the work in 24 days. If P works alone for the first day and Q alone works for second day, after second day P and Q works together for next 5 days. After 7 days, R who has same work efficiency as Q, joins P and Q. In how many days, work will be completed?
Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: A and B together, B and C together and C and A together can complete a piece of work in 10, 12 and 20 days respectively. In how many days can B finish the work alone? Quantity B: P & Q working alone can complete a wok in 20 and 30 days respectively. They started together but after 9 days P left, in how many days will the total work be completed?
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: M and N can complete the work in 10 and 20 days respectively. They started doing work together but after 4 days M left the work. In what time N can complete the remaining work? Quantity B: A and B can together complete the work in 12 days. A alone can complete the work in 30 days. If B works for first 4 days alone and then A joins the work, in how many days remaining work will be complete?
Quantity 1: A alone can do a piece of work in 20 days. If A and B can do the same piece of work in 12 days, then B alone can do the same piece of work in how many days? Quantity 2: A can fill the tank in 15 hours and B empty the same tank in 30 hours then how many hours tank will be fill. If they fill the tank together?
P can do a piece of work in 20 days and Q can do the same piece of work in 60 days. They start working together and work for 5 days and then both leave the work. R alone finishes the remaining work in 10 days. In how many days will R alone finish the whole work?
P can do a piece of work in 20 days and Q can do the same piece of work in 30 days. They start working together and work for 5 days and then both leave the work. R alone finishes the remaining work in 21 days. In how many days will R alone finish the whole work?
A can do a piece of work in 30 days and B can do the same piece of work in 20 days. They start working together and work for 4 days and then both leave the work. C alone finishes the remaining work in 18 days. In how many days will C alone finish the whole work?