Quant Exam > Quant Questions > P and Q can do a piece of work in 10 days and...
Start Learning for Free
P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completed
- a)10
- b)15
- c)20
- d)25
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
P and Q can do a piece of work in 10 days and 20 days respectively. Bo...
(1/10 + 1/20)*(T-5) + 5/20 = 1 (T is the number of days in which the work is completed)
Most Upvoted Answer
P and Q can do a piece of work in 10 days and 20 days respectively. Bo...
Given:
P can do the work in 10 days.
Q can do the work in 20 days.
P leaves the work 5 days before its completion.
To find:
The time in which the work is completed.
Approach:
Let's assume the total work to be done is 100 units.
Since P can do the work in 10 days, P's work efficiency per day = 100/10 = 10 units/day.
Similarly, Q's work efficiency per day = 100/20 = 5 units/day.
Let's consider the total number of days taken to complete the work as x days.
Since P leaves the work 5 days before its completion, P works for (x - 5) days.
During this time, P completes (10 * (x - 5)) units of work.
Q works for x days and completes (5x) units of work.
The total work done by P and Q together is 100 units.
Therefore, (10 * (x - 5)) + (5x) = 100.
Simplifying the equation:
10x - 50 + 5x = 100
15x = 150
x = 10
Therefore, the work is completed in 10 days.
Explanation:
P and Q have different work efficiencies, so we need to calculate the time taken by each of them separately.
P's work efficiency is higher, so P completes a larger portion of the work.
Since P leaves the work 5 days before its completion, we need to subtract those 5 days from the total time taken by P.
Then, we equate the total work done by P and Q to 100 units and solve for x, the total number of days taken to complete the work.
In this case, x = 10, which means the work is completed in 10 days.
P can do the work in 10 days.
Q can do the work in 20 days.
P leaves the work 5 days before its completion.
To find:
The time in which the work is completed.
Approach:
Let's assume the total work to be done is 100 units.
Since P can do the work in 10 days, P's work efficiency per day = 100/10 = 10 units/day.
Similarly, Q's work efficiency per day = 100/20 = 5 units/day.
Let's consider the total number of days taken to complete the work as x days.
Since P leaves the work 5 days before its completion, P works for (x - 5) days.
During this time, P completes (10 * (x - 5)) units of work.
Q works for x days and completes (5x) units of work.
The total work done by P and Q together is 100 units.
Therefore, (10 * (x - 5)) + (5x) = 100.
Simplifying the equation:
10x - 50 + 5x = 100
15x = 150
x = 10
Therefore, the work is completed in 10 days.
Explanation:
P and Q have different work efficiencies, so we need to calculate the time taken by each of them separately.
P's work efficiency is higher, so P completes a larger portion of the work.
Since P leaves the work 5 days before its completion, we need to subtract those 5 days from the total time taken by P.
Then, we equate the total work done by P and Q to 100 units and solve for x, the total number of days taken to complete the work.
In this case, x = 10, which means the work is completed in 10 days.
Free Test
FREE
| Start Free Test |
Community Answer
P and Q can do a piece of work in 10 days and 20 days respectively. Bo...
10
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect 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 P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect 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 P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect 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 P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect 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 P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect 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 P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice P and Q can do a piece of work in 10 days and 20 days respectively. Both of them start the work but P leaves the work 5 days before its completion. Find the time in which work is completeda)10b)15c)20d)25e)None of theseCorrect answer is option 'A'. 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