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John takes twice as much time as Jack to finish a job. Jack and Jim together take onethirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?
Correct answer is '4'. Can you explain this answer?
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Verified Answer
John takes twice as much time as Jack to finish a job. Jack and Jim to...
Let the individual times taken by John, Jack and Jim to complete the works be a, b and c respectively.
Given, a = 2b ... (1)
From (1) and (2), we've c = 2b
Given, a = 2b ... (1)
From (1) and (2), we've c = 2b
Most Upvoted Answer
John takes twice as much time as Jack to finish a job. Jack and Jim to...
Let's break down the given information step by step to solve the problem:
Let's assume that Jack takes x days to finish the job.
So, John takes twice as much time as Jack, which means John takes 2x days to finish the job.
Jack and Jim together take one-third of the time to finish the job than John takes working alone.
This can be represented as:
(x + j) = (1/3) * 2x, where j is the number of days taken by Jim.
Simplifying the equation:
3(x + j) = 2x
3x + 3j = 2x
3j = 2x - 3x
3j = -x
j = -x/3
Moreover, John takes three days more than that taken by three of them working together.
This can be represented as:
2x = (x + j) + 3
2x = x - x/3 + 3
Multiplying the equation by 3:
6x = 3x - x + 9
6x = 2x + 9
4x = 9
x = 9/4
Therefore, Jack takes 9/4 days to finish the job.
To find the number of days Jim takes to finish the job working alone, substitute the value of x into the equation for j:
j = -x/3
j = -(9/4)/3
j = -9/12
j = -3/4
Since we cannot have negative days, we take the absolute value:
j = 3/4
Therefore, Jim takes 3/4 days to finish the job working alone, which is equivalent to 0.75 days or 3/4 * 24 hours = 18 hours.
So, the correct answer is 4 days.
Let's assume that Jack takes x days to finish the job.
So, John takes twice as much time as Jack, which means John takes 2x days to finish the job.
Jack and Jim together take one-third of the time to finish the job than John takes working alone.
This can be represented as:
(x + j) = (1/3) * 2x, where j is the number of days taken by Jim.
Simplifying the equation:
3(x + j) = 2x
3x + 3j = 2x
3j = 2x - 3x
3j = -x
j = -x/3
Moreover, John takes three days more than that taken by three of them working together.
This can be represented as:
2x = (x + j) + 3
2x = x - x/3 + 3
Multiplying the equation by 3:
6x = 3x - x + 9
6x = 2x + 9
4x = 9
x = 9/4
Therefore, Jack takes 9/4 days to finish the job.
To find the number of days Jim takes to finish the job working alone, substitute the value of x into the equation for j:
j = -x/3
j = -(9/4)/3
j = -9/12
j = -3/4
Since we cannot have negative days, we take the absolute value:
j = 3/4
Therefore, Jim takes 3/4 days to finish the job working alone, which is equivalent to 0.75 days or 3/4 * 24 hours = 18 hours.
So, the correct answer is 4 days.
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John takes twice as much time as Jack to finish a job. Jack and Jim together take onethirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?Correct answer is '4'. Can you explain this answer?
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John takes twice as much time as Jack to finish a job. Jack and Jim together take onethirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?Correct answer is '4'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about John takes twice as much time as Jack to finish a job. Jack and Jim together take onethirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?Correct answer is '4'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for John takes twice as much time as Jack to finish a job. Jack and Jim together take onethirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?Correct answer is '4'. Can you explain this answer?.
John takes twice as much time as Jack to finish a job. Jack and Jim together take onethirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?Correct answer is '4'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about John takes twice as much time as Jack to finish a job. Jack and Jim together take onethirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?Correct answer is '4'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for John takes twice as much time as Jack to finish a job. Jack and Jim together take onethirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?Correct answer is '4'. Can you explain this answer?.
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