Quant Exam > Quant Questions > P does half as much work as Q in three-fourth...
Start Learning for Free
P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?
- a)50 days
- b)60 days
- c)70 days
- d)80 days
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
P does half as much work as Q in three-fourth of the time. If together...
Let Q take x days to complete the work, so P will take 2*3/4 of X day to complete the work i.e. 3x/2 days
1/x + 2/3x = 1/24, we get x = 40 days, so P will take = 3/2 of 40 = 60 days
1/x + 2/3x = 1/24, we get x = 40 days, so P will take = 3/2 of 40 = 60 days
Most Upvoted Answer
P does half as much work as Q in three-fourth of the time. If together...
Let's assume that Q takes x days to complete the work. Therefore, P will take 2x days to complete the same work.
Given that P does half as much work as Q in three-fourth of the time, we can calculate the work efficiency ratio between P and Q.
Work efficiency ratio = (Work done by P) / (Work done by Q)
According to the given information,
Work done by P = 1/2
Work done by Q = 1
Therefore, the work efficiency ratio is (1/2) / 1 = 1/2.
Let's say the total work is represented by W.
- P does half as much work as Q, so the work done by P is (1/2)W.
- P takes 2x days to complete the work, so the work done by P in one day is (1/2)W / (2x) = W / (4x).
- Q takes x days to complete the work, so the work done by Q in one day is W / x.
Since P does half as much work as Q in three-fourth of the time, we can set up the following equation:
(1/2)(W / (4x)) = (3/4)(W / x)
Simplifying this equation, we get:
1 / (8x) = 3 / (4x)
Cross-multiplying, we get:
4x = 24x
Simplifying further, we get:
x = 6
Therefore, Q takes 6 days to complete the work.
Now, to find the time taken by P to complete the work, we can substitute the value of x back into the equation:
P takes 2x days = 2 * 6 = 12 days.
Hence, P takes 12 days to complete the work.
Therefore, the correct answer is option B) 60 days.
Given that P does half as much work as Q in three-fourth of the time, we can calculate the work efficiency ratio between P and Q.
Work efficiency ratio = (Work done by P) / (Work done by Q)
According to the given information,
Work done by P = 1/2
Work done by Q = 1
Therefore, the work efficiency ratio is (1/2) / 1 = 1/2.
Let's say the total work is represented by W.
- P does half as much work as Q, so the work done by P is (1/2)W.
- P takes 2x days to complete the work, so the work done by P in one day is (1/2)W / (2x) = W / (4x).
- Q takes x days to complete the work, so the work done by Q in one day is W / x.
Since P does half as much work as Q in three-fourth of the time, we can set up the following equation:
(1/2)(W / (4x)) = (3/4)(W / x)
Simplifying this equation, we get:
1 / (8x) = 3 / (4x)
Cross-multiplying, we get:
4x = 24x
Simplifying further, we get:
x = 6
Therefore, Q takes 6 days to complete the work.
Now, to find the time taken by P to complete the work, we can substitute the value of x back into the equation:
P takes 2x days = 2 * 6 = 12 days.
Hence, P takes 12 days to complete the work.
Therefore, the correct answer is option B) 60 days.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. 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 P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. 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 P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. 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 P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice P does half as much work as Q in three-fourth of the time. If together they take 24 days to complete the work, how much time shall P take to complete the work?a)50 daysb)60 daysc)70 daysd)80 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup