Bissoy.com
Doctors Medicines MCQs Q&A

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 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? Correct Answer 15

Work done by P in 1 day = 1/20

Work done by Q in 1 day = 1/60

Work done P and Q in 1 day = 1/20 + 1/60 = 1/15

Work done by P and Q in 5 days = 5 ⨯ 1/15 = 1/3

∴ P and Q finished 1/3rd of the work in 5 days.

R finished 2/3rd of the work in 10 days

2/3 work = 10 days

1 work = 10 × (3/2) = 15 days

∴ R will finish the whole work in 15 days.

Related Questions

Seven persons P, Q, R, S, T, U and V participate in and finish all the events of a series of swimming races. There are no ties at the finish of any of the events. V always finishes somewhere ahead of P. P always finishes somewhere ahead of Q. Either R finishes first and T finishes last or S finishes first and U or Q finishes last. If in a particular race V finished fifth and T finishes before R, then which one of the following would be true?
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?
A can do a piece of work in 20 days and B 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. C alone finishes the remaining work in 14 days. In how many days will C alone finish the whole work?
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.
What is the total number of employees in the company? Which of the following option is sufficient alone to find the answer? A) In the company, employees like either tea or coffee or cold drink. Out of the total employees, 25% like tea and 40% like coffee. Out of remaining employees, 20% like cold drink and remaining employees don’t like any of these drinks. B) Out of total employees 18% working in the marketing departments, 35% working in IT departments. From the remaining employees 25% working in HR departments and 45% working in content departments and remaining 141 are working in other departments. C) Employees working in the company is form state X, Y and Z. 20% of employees working in the company is from state X and from remaining 60% employees is from state Z and the remaining employees is from the state Y. D) 60% of the employees in the company are married and remaining employees are unmarried. The ratio of male and female unmarried employees is 4 : 5 and ratio of married male and female employees is 3 : 4.
A and B together can complete a job in 8 days. Both B and C, working alone can finish the same job in 12 days, A and B commence work on the job, and work for 4 days, where upon A leaves, B continues for 2 more days, and then he leaves too, C now starts working, and finishes the job. How many days will C require to finish the remaining work ?
‘P’ taken 16 days to finish a piece of work. ‘Q’ takes 24 days to finish the same piece of work.  'R' takes 48 days to finish the same piece of work. How many days will all three of them together take to finish the same piece of work?
A and B together can finish a work in 10 days, B and C together can finish the same work in 15 days, and A and C together can finish the same work in 20 days. In how many days can c alone finish the same work?
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?