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John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds 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 t...
Given information:
- John takes twice as much time as Jack to finish a job.
- Jack and Jim together take one-third of the time to finish the job than John takes working alone.
- John takes three days more than that taken by three of them working together.
Let's assume that Jack takes x days to finish the job.
John's time:
According to the given information, John takes twice as much time as Jack to finish the job. Therefore, John takes 2x days to finish the job.
Jack and Jim's time:
Jack and Jim together take one-third of the time to finish the job than John takes working alone.
This can be mathematically represented as:
(x + j) = (1/3) * 2x, where j is the number of days it takes for Jim to finish the job.
Simplifying the equation, we get:
x + j = (2/3) * x
John's time compared to working together:
John takes three days more than that taken by three of them working together.
This can be mathematically represented as:
2x = (x + j) + 3
Simplifying the equation, we get:
2x = (2/3) * x + j + 3
Substituting the value of (x + j) from the previous equation, we get:
2x = (2/3) * x + (2/3) * x + 3
Simplifying further, we get:
2x = (4/3) * x + 3
Multiplying both sides of the equation by 3 to eliminate the fraction, we get:
6x = 4x + 9
Subtracting 4x from both sides of the equation, we get:
2x = 9
Dividing both sides of the equation by 2, we get:
x = 4.5
Jim's time:
Now that we have the value of x, we can substitute it in the equation (x + j) = (2/3) * x to find the value of j.
(4.5 + j) = (2/3) * 4.5
Multiplying both sides of the equation by 3 to eliminate the fraction, we get:
13.5 + 3j = 9
Subtracting 13.5 from both sides of the equation, we get:
3j = -4.5
Dividing both sides of the equation by 3, we get:
j = -1.5
Since the number of days cannot be negative, we discard the negative solution.
Therefore, Jim takes 4 days to finish the job working alone.
Answer: Jim will finish the job working alone in 4 days.
- John takes twice as much time as Jack to finish a job.
- Jack and Jim together take one-third of the time to finish the job than John takes working alone.
- John takes three days more than that taken by three of them working together.
Let's assume that Jack takes x days to finish the job.
John's time:
According to the given information, John takes twice as much time as Jack to finish the job. Therefore, John takes 2x days to finish the job.
Jack and Jim's time:
Jack and Jim together take one-third of the time to finish the job than John takes working alone.
This can be mathematically represented as:
(x + j) = (1/3) * 2x, where j is the number of days it takes for Jim to finish the job.
Simplifying the equation, we get:
x + j = (2/3) * x
John's time compared to working together:
John takes three days more than that taken by three of them working together.
This can be mathematically represented as:
2x = (x + j) + 3
Simplifying the equation, we get:
2x = (2/3) * x + j + 3
Substituting the value of (x + j) from the previous equation, we get:
2x = (2/3) * x + (2/3) * x + 3
Simplifying further, we get:
2x = (4/3) * x + 3
Multiplying both sides of the equation by 3 to eliminate the fraction, we get:
6x = 4x + 9
Subtracting 4x from both sides of the equation, we get:
2x = 9
Dividing both sides of the equation by 2, we get:
x = 4.5
Jim's time:
Now that we have the value of x, we can substitute it in the equation (x + j) = (2/3) * x to find the value of j.
(4.5 + j) = (2/3) * 4.5
Multiplying both sides of the equation by 3 to eliminate the fraction, we get:
13.5 + 3j = 9
Subtracting 13.5 from both sides of the equation, we get:
3j = -4.5
Dividing both sides of the equation by 3, we get:
j = -1.5
Since the number of days cannot be negative, we discard the negative solution.
Therefore, Jim takes 4 days to finish the job working alone.
Answer: Jim will finish the job working alone in 4 days.
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Community Answer
John takes twice as much time as Jack to finish a job. Jack and Jim t...
Let Jack take "t" days to complete the work, then John will take "2t" days to complete the work. So work done by Jack in one day is (1/t) and John is (1/2t).
Now let Jim take "m" days to complete the work. According to question, 
Hence Jim takes "2t" time to complete the work.
Hence Jim takes "2t" time to complete the work.Now let the three of them complete the work in "p" days. Hence John takes "p+3" days to complete the work.
or m = 1. Hence Jim will take (1 + 3) = 4 days to complete the work. Similarly John will also take 4 days to complete the work
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John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds 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 one-thirds 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 one-thirds 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 one-thirds 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 one-thirds 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 one-thirds 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 one-thirds 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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