With P starting the work, working on alternate days, P and Q can finish a work in 17 days. If Q works on the first day and Q and P work alternately, the work is finished in 53/3 days. How many days will each take individually to execute the work?
ˆLet P's 1 day work = x and Q's 1 day work = y If P start the work, working on alternate days, P and Q can finish a work in 17 days. P works for = 9 days Q works for = 8 days Total work = 9x + 8y If Q works on the first day and P and Q work alternately, the work is finished in 53/3 days =53/3 = 17+(2/3) Days Q works for = 9 days P work for = 8 + (2/3) = 26/3 days Total work = 9y + 26x/3 According to the question 9x + 8y = 9y + 26x/3 9x-26x/3 = 9y-8y x/3 = y x: y =3:1 Total work = 9x + 8y = 9×3+8×1 = 35 Q alone can finish the whole work in = 35/1 = 35 P alone can finish the whole work in = 35/3 days.
Working alone, B can complete the work in 16 days. C is twice as efficient as B and A takes 4 days more than it takes C to complete the work. Working to...
The audit programme should include:
I. Verification of assets
II. ...
When did India join the Global Partnership on AI?
If India adopted full currency convertibility without any limitations, which of the situations given below would see considerable increase with respect ...
Which of the following military causes are correct for the Revolt of 1857?
1. Low salary and poor prospects of promotion
2. Di...
What is the theme of the Digital Health Summit 2023?
Which of the following statements is/are correct about “Pradhan Mantri Jeevan Jyoti Bima Yojana (PMJJBY)”?
I. The PM...
Which of the following are the legally binding agreements adopted in the 1992 Earth Summit?
1.Convention on Biological Diversity
2.Frame...
Which of the following is incorrect regarding EPFO?
The mean, median and modal marks of 150 students were found to be 50, 51 and 53 respectively. Later on it was discovered that a score of 64 was misread ...