Quant Exam  >  Quant Questions  >  X alone can complete a piece of work in 40 da... Start Learning for Free
X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?
  • a)
  • b)
    14 days
  • c)
    15 days
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
X alone can complete a piece of work in 40 days. He worked for 8 days ...
X can DO the work in 40 days. He works at it for 8 days and that means he's finished fifth of the work (1/5).

Now Y took 16 days to finish the rest of the work, which means he finished 4/5 th of the work in 16 days and will take 16 * 5/4 = 20 days to finish the work on a whole.

X finishes 1/40 th of the work in one day. Y finishs 1/20 th of the work in one day.

Since they work together their speeds add up and the time take t to complete the entire work W will be:

t = W / (Speed of X + Speed of Y) = W / (W/40 + W/20) = 1/ (1/40 + 1/20)

= (40 * 20) / (40 + 20) = 800/60 = 40 / 3 = 13 1/3 days = 13 days + (1/3) * 24 hours

= 13 days and 8 hours.
View all questions of this test
Explore Courses for Quant exam
X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?a)b)14 daysc)15 daysd)Correct answer is option 'A'. Can you explain this answer?
Question Description
X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?a)b)14 daysc)15 daysd)Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?a)b)14 daysc)15 daysd)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?a)b)14 daysc)15 daysd)Correct answer is option 'A'. Can you explain this answer?.
Solutions for X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?a)b)14 daysc)15 daysd)Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?a)b)14 daysc)15 daysd)Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?a)b)14 daysc)15 daysd)Correct answer is option 'A'. Can you explain this answer?, a detailed solution for X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?a)b)14 daysc)15 daysd)Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?a)b)14 daysc)15 daysd)Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?a)b)14 daysc)15 daysd)Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev