Bissoy.com
Doctors Medicines MCQs Q&A

P and Q can complete whole work in 60/11 days and P can complete whole work alone in 12 days. If Q starts functioning only at 60% of its original capacity then in how many days will P and Q complete the whole work?

P and Q can complete whole work in 60/11 days and P can complete whole work alone in 12 days. If Q starts functioning only at 60% of its original capacity then in how many days will P and Q complete the whole work? Correct Answer (300/43) days

Given:

Time taken by P and Q both together = 60/11 days

Time taken by P alone = 12 days

Formula used:

Efficiency = (Total work)/(Time taken)

Calculation:

Total work = LCM of (60/11) and 12

⇒ 60 units

Efficiency of P and Q both together = {60/(60/11)} 

⇒ 11 units

Efficiency of P = 60/12

⇒ 5 units

Now efficiency of Q = 11 - 5

⇒ 6 units

Time taken by Q = (60/6)

⇒ 10 days

If Q works at 60% of his efficiency,

Q's new efficiency = (60/100) × (6)

⇒ (18/5) units.

Hereafter, when P works with Q, their combined efficiency becomes,

⇒ 5 + (18/5)

⇒ (43/5) units

The total time taken by them together = {60/(43/5)}

⇒ (300/43) days

∴ P and Q complete the whole work in (300/43) 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?
There are two person A and B.A alone can complete the whole work in x days and B alone can complete the whole work in y days. Working together they can complete the whole work in 12 day. Which of the following statements is/are true regarding x and y? A) 20 days and 30 days B) 25 days and 300/13 days C) 32 days and 96/5 days D) 40 days and 10 days 
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?
Raj alone can complete the work in 20 days and Radha alone can complete the work in M days while Ram alone can complete the work in 24 days. Raj and Radha can complete half of the work in 6 days. Radha works for 18 days then Raj and Ram join her to complete the remaining work. In what time total work gets completed?
A alone can complete a work in 12 days, B alone can complete the whole work in 15 days, while C alone can complete the whole work in 20 days. In how many days A, B and C altogether can complete 60% of the work?
A alone can complete work in 12 days and B alone can complete work in 15 days. If A and B work for 3 days, then C join them to complete the work where C alone can complete work in 30 days. Find the total number of days taken by all three to complete work.
A work can be completed by A and B in 8 days. They started work together and after 2 days of starting the work, A left the work then B complete the whole work with the help of C in 9 days. If B alone can complete the work in 24 days then find in how many days C alone can complete the work.
The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. In how many days will A and B together complete 90% of the given work? I. A can alone complete 40% of the work in 16 days. II. B can alone complete 60% of the work in 30 days. III. Time taken by A to complete the work alone is equal to the time taken by B to complete 80% of the work alone.
A and B together can complete a work in 15 days, B and C together can complete the whole work in 12 days and C alone can complete the whole work in 30 days. In how many days A alone can complete the whole work?
A alone can complete a work in 10 days, B alone can complete the same work in 20 days and C alone can complete the same work in 15 days. A and C work together for some time and left, If B worked for 10 days to complete the work, then A and C worked for how many days?