Bissoy.com
Doctors Medicines MCQs Q&A

P and Q together can complete a work in 105 days. Q and R together can complete the same work in 90 days, P and R together can complete the same work in 126 days. In how many days P, Q and R together can complete the same work?

P and Q together can complete a work in 105 days. Q and R together can complete the same work in 90 days, P and R together can complete the same work in 126 days. In how many days P, Q and R together can complete the same work? Correct Answer 70 days

Formula used:

Efficiency = 1/Number of days required to complete work

Calculation:

Work done by P and Q in 1 day = 1/105

Work done by Q and R in 1 day = 1/90

Work done by R and P in 1 day = 1/126

Adding all of them together

⇒ 2 × (R + P + Q) = 1/105 + 1/90 + 1/126 = 1/35

⇒ R + P + Q = 1/70

∴ R, P and Q can complete the work in 70 days

Related Questions

The following table gives the sales of Drinks manufactured by a company over the years. Study the table below and answer the questions that follow: Number of different types of Drinks sold by a company over the year(in thousands) Year Pepsi Miranda Fanta Coke Sprite Total 2002 75 144 114 102 108 543 2003 90 126 102 84 126 528 2004 96 114 75 105 135 525 2005 105 90 150 90 75 510 2006 90 75 135 75 90 465 2007 105 60 165 45 120 495 2008 115 85 160 100 145 605 What is the difference in the number of coke drink sold in the 2003 and 2007?
The following table gives the sales of Drinks manufactured by a company over the years. Study the table below and answer the questions that follow: Number of different types of Drinks sold by a company over the year(in thousands) Year Pepsi Miranda Fanta Coke Sprite Total 2002 75 144 114 102 108 543 2003 90 126 102 84 126 528 2004 96 114 75 105 135 525 2005 105 90 150 90 75 510 2006 90 75 135 75 90 465 2007 105 60 165 45 120 495 2008 115 85 160 100 145 605 what was the approximate percentage increase in the sales of sprite in 2008 compared to that in 2002?
The following table gives the sales of Drinks manufactured by a company over the years. Study the table below and answer the questions that follow: Number of different types of Drinks sold by a company over the year(in thousands) Year Pepsi Miranda Fanta Coke Sprite Total 2002 75 144 114 102 108 543 2003 90 126 102 84 126 528 2004 96 114 75 105 135 525 2005 105 90 150 90 75 510 2006 90 75 135 75 90 465 2007 105 60 165 45 120 495 2008 115 85 160 100 145 605 In the case of which drink there was continuous decrease in sales from 2002 to 2007?
The following table gives the sales of Drinks manufactured by a company over the years. Study the table below and answer the questions that follow: Number of different types of Drinks sold by a company over the year(in thousands) Year Pepsi Miranda Fanta Coke Sprite Total 2002 75 144 114 102 108 543 2003 90 126 102 84 126 528 2004 96 114 75 105 135 525 2005 105 90 150 90 75 510 2006 90 75 135 75 90 465 2007 105 60 165 45 120 495 2008 115 85 160 100 145 605 The total sales of all the seven years are the maximum for which drink?
The following table presents the number of candidates trained by a training centre over 6 years (2001 to 2006). Year Batch 1 Batch 2 Batch 3 Batch 4 Batch 5 2001 75 144 114 102 108 2002 90 126 102 84 126 2003 96 114 75 105 135 2004 105 90 150 90 75 2005 90 75 135 75 90 2006 105 60 165 45 120 The number of candidates trained in Batch 2 in 2001 was what percentage more than the number of candidates trained in Batch 5 in 2005?
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?
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?
A can complete a 3/4th of a work in 15 days while B can complete 5/6th of the same work in 10 days and C can complete 3/5th of work in 18 days. If A and B work together for 3 days and after 3rd day A, B and C work together to complete work, then in how many days A, B and C can complete remaining work?
Given below are two quantities named 1 and 2. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity 1: P and Q can do a work in 6 days and Q and R can do a work in 60/7 days and P and R can do a work in 20/3 days. If Q and R work for first 2 days and left the work. Find the total time taken by P to complete the remaining work. Quantity 2: A and B can do a work in 8/3 days, B and C can do the same work in 3 days and A and C can do the same work in 24/5 days. In what time C alone can complete the work?