Quant Exam > Quant Questions > Prakash is twice as fast as sumit and therefo...
Start Learning for Free
Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?
- a)25 days
- b)20 days
- c)30 days
- d)35 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
Prakash is twice as fast as sumit and therefore Prakash is able to fin...
Let sumit take x days then Prakash will take x/2 days to complete the work.
X – X/2 = 30, X = 60
1/60 + 1/30 = 1/d so, we will get d= 20 days
X – X/2 = 30, X = 60
1/60 + 1/30 = 1/d so, we will get d= 20 days
Most Upvoted Answer
Prakash is twice as fast as sumit and therefore Prakash is able to fin...
To solve this problem, let's assume that Sumit takes x days to complete the work.
According to the given information, Prakash is twice as fast as Sumit. Therefore, Prakash will take x/2 days to complete the work.
It is also given that Prakash is able to finish the work in 30 days less than Sumit. This means that Prakash takes 30 days less than Sumit to complete the work.
So, we can write the equation:
x - (x/2) = 30
Simplifying the equation, we have:
2x - x = 60
x = 60
Therefore, Sumit takes 60 days to complete the work.
Now, let's find the time in which they can complete the work when both are working together.
Let's assume that when both Prakash and Sumit work together, they can complete the work in t days.
The work done by Prakash in one day = 1/(x/2) = 2/x
The work done by Sumit in one day = 1/x
When they work together, their combined work in one day = 2/x + 1/x = 3/x
Since we know that they can complete the work in t days, we can write the equation:
(3/x) * t = 1
Simplifying the equation, we have:
t = x/3
Substituting the value of x, we get:
t = 60/3
t = 20
Therefore, when Prakash and Sumit work together, they can complete the work in 20 days.
Hence, the correct answer is option B) 20 days.
According to the given information, Prakash is twice as fast as Sumit. Therefore, Prakash will take x/2 days to complete the work.
It is also given that Prakash is able to finish the work in 30 days less than Sumit. This means that Prakash takes 30 days less than Sumit to complete the work.
So, we can write the equation:
x - (x/2) = 30
Simplifying the equation, we have:
2x - x = 60
x = 60
Therefore, Sumit takes 60 days to complete the work.
Now, let's find the time in which they can complete the work when both are working together.
Let's assume that when both Prakash and Sumit work together, they can complete the work in t days.
The work done by Prakash in one day = 1/(x/2) = 2/x
The work done by Sumit in one day = 1/x
When they work together, their combined work in one day = 2/x + 1/x = 3/x
Since we know that they can complete the work in t days, we can write the equation:
(3/x) * t = 1
Simplifying the equation, we have:
t = x/3
Substituting the value of x, we get:
t = 60/3
t = 20
Therefore, when Prakash and Sumit work together, they can complete the work in 20 days.
Hence, the correct answer is option B) 20 days.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 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 Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 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 Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 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 Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 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 Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 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 Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 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
Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Prakash is twice as fast as sumit and therefore Prakash is able to finish the work in 30 days less than sumit. Find the time in which they can complete the work when both are working together?a)25 daysb)20 daysc)30 daysd)35 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
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup