UPSC Exam  >  UPSC Questions  >  P can complete a work in 12 days working 8 ho... Start Learning for Free
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
  • a)
    5.45
  • b)
    5.54
  • c)
    6.45
  • d)
    6.54
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
P can complete a work in 12 days working 8 hours a day. Q can complete...
Free Test
Community Answer
P can complete a work in 12 days working 8 hours a day. Q can complete...
Given:
P can complete a work in 12 days working 8 hours a day.
Q can complete the same work in 8 days working 10 hours a day.
Both P and Q work together, working 8 hours a day.

To find:
In how many days can they complete the work?

Solution:
Let's first calculate the efficiency of P and Q.

Efficiency of P = (1/12*8) = 1/96
Efficiency of Q = (1/8*10) = 1/80

Now, let's find the efficiency of P and Q working together.
Efficiency of P and Q together = (1/96 + 1/80) = 11/480

Let's assume that they take 'x' days to complete the work working 8 hours a day.

Therefore, the total work done by P and Q together in 'x' days working 8 hours a day is (11/480 * 8 * x).

As the total work done by P is 1, the total work done by Q is also 1.

Therefore, (11/480 * 8 * x) = 1 + 1
=> x = (2/(11/480 * 8))
=> x = 5.45 days

Hence, both P and Q working together can complete the work in 5.45 days working 8 hours a day. Therefore, the correct option is (A).
Explore Courses for UPSC exam
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?a)5.45b)5.54c)6.45d)6.54Correct answer is option 'A'. Can you explain this answer?
Question Description
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?a)5.45b)5.54c)6.45d)6.54Correct answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?a)5.45b)5.54c)6.45d)6.54Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?a)5.45b)5.54c)6.45d)6.54Correct answer is option 'A'. Can you explain this answer?.
Solutions for P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?a)5.45b)5.54c)6.45d)6.54Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?a)5.45b)5.54c)6.45d)6.54Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?a)5.45b)5.54c)6.45d)6.54Correct answer is option 'A'. Can you explain this answer?, a detailed solution for P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?a)5.45b)5.54c)6.45d)6.54Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?a)5.45b)5.54c)6.45d)6.54Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?a)5.45b)5.54c)6.45d)6.54Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev