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John, Tom and Harry completed an assignment by working for a total of 60 days. During this period, each one of them remained absent for some days. John remained absent for 20 more days than the number of days for which Tom remained absent. When the assignment got completed, it was found that Harry completed only one third of the total work. For how many days more did Harry work than John?
- a)20
- b)10
- c)30
- d)5
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
John, Tom and Harry completed an assignment by working for a total of ...
As nothing is stated otherwise, we can assume that each of them contributed the same amount of work on a day when he was present at work. Let this amount of work be k. Further, let the number of days John, Tom and Harry remained present at work be (x - 20), x and y respectively. We have:
Simplifying, we gety = x - 10
∴The number of days for which Harry worked more than John = y — (x - 20) = (x - 10) - (x - 20) = 10 days.
Hence, option 2.
Most Upvoted Answer
John, Tom and Harry completed an assignment by working for a total of ...
Let's solve this problem step by step:
Let's assume that Tom remained absent for x days.
According to the given information, John remained absent for 20 more days than Tom. So, John remained absent for (x + 20) days.
We know that the total number of days worked by John, Tom, and Harry is 60. So, the number of days Harry worked can be calculated as:
Total number of days worked by Harry = Total number of days - (Number of days John worked + Number of days Tom worked)
Total number of days worked by Harry = 60 - [(60 - x - 20) + x]
Total number of days worked by Harry = 60 - (60 - x - 20 + x)
Total number of days worked by Harry = 60 - (60 - 20)
Total number of days worked by Harry = 60 - 40
Total number of days worked by Harry = 20
We are given that Harry completed only one-third of the total work. So, John and Tom completed the remaining two-thirds of the work.
Let's assume that the work completed by John and Tom is y.
According to the given information, Harry completed only one-third of the total work. So, the work completed by Harry is (1/3)y.
The total work completed by John, Tom, and Harry is y + (1/3)y = (4/3)y.
We know that the total work completed by John, Tom, and Harry is 1 (since it is the total work). So, (4/3)y = 1.
Simplifying the equation, we get y = (3/4).
Now, let's calculate the number of days John worked:
Number of days John worked = Total number of days - Number of days John remained absent
Number of days John worked = 60 - (x + 20)
Number of days John worked = 60 - x - 20
Number of days John worked = 40 - x
Similarly, let's calculate the number of days Tom worked:
Number of days Tom worked = Total number of days - Number of days Tom remained absent
Number of days Tom worked = 60 - x
Now, let's calculate the number of days Harry worked:
Number of days Harry worked = Total number of days - (Number of days John worked + Number of days Tom worked)
Number of days Harry worked = 60 - (40 - x + 60 - x)
Number of days Harry worked = 60 - (100 - 2x)
Number of days Harry worked = 60 - 100 + 2x
Number of days Harry worked = 2x - 40
We are required to find the number of days more that Harry worked than John:
Number of days more Harry worked than John = Number of days Harry worked - Number of days John worked
Number of days more Harry worked than John = (2x - 40) - (40 - x)
Number of days more Harry worked than John = 2x - 40 - 40 + x
Number of days more Harry worked than John = 3x - 80
Since we know that Harry worked for 20 days (as calculated earlier), we can substitute this value in the equation:
Number of days more Harry worked than John = 3x - 80
Number of days more Harry worked than John =
Let's assume that Tom remained absent for x days.
According to the given information, John remained absent for 20 more days than Tom. So, John remained absent for (x + 20) days.
We know that the total number of days worked by John, Tom, and Harry is 60. So, the number of days Harry worked can be calculated as:
Total number of days worked by Harry = Total number of days - (Number of days John worked + Number of days Tom worked)
Total number of days worked by Harry = 60 - [(60 - x - 20) + x]
Total number of days worked by Harry = 60 - (60 - x - 20 + x)
Total number of days worked by Harry = 60 - (60 - 20)
Total number of days worked by Harry = 60 - 40
Total number of days worked by Harry = 20
We are given that Harry completed only one-third of the total work. So, John and Tom completed the remaining two-thirds of the work.
Let's assume that the work completed by John and Tom is y.
According to the given information, Harry completed only one-third of the total work. So, the work completed by Harry is (1/3)y.
The total work completed by John, Tom, and Harry is y + (1/3)y = (4/3)y.
We know that the total work completed by John, Tom, and Harry is 1 (since it is the total work). So, (4/3)y = 1.
Simplifying the equation, we get y = (3/4).
Now, let's calculate the number of days John worked:
Number of days John worked = Total number of days - Number of days John remained absent
Number of days John worked = 60 - (x + 20)
Number of days John worked = 60 - x - 20
Number of days John worked = 40 - x
Similarly, let's calculate the number of days Tom worked:
Number of days Tom worked = Total number of days - Number of days Tom remained absent
Number of days Tom worked = 60 - x
Now, let's calculate the number of days Harry worked:
Number of days Harry worked = Total number of days - (Number of days John worked + Number of days Tom worked)
Number of days Harry worked = 60 - (40 - x + 60 - x)
Number of days Harry worked = 60 - (100 - 2x)
Number of days Harry worked = 60 - 100 + 2x
Number of days Harry worked = 2x - 40
We are required to find the number of days more that Harry worked than John:
Number of days more Harry worked than John = Number of days Harry worked - Number of days John worked
Number of days more Harry worked than John = (2x - 40) - (40 - x)
Number of days more Harry worked than John = 2x - 40 - 40 + x
Number of days more Harry worked than John = 3x - 80
Since we know that Harry worked for 20 days (as calculated earlier), we can substitute this value in the equation:
Number of days more Harry worked than John = 3x - 80
Number of days more Harry worked than John =
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John, Tom and Harry completed an assignment by working for a total of 60 days. During this period, each one of them remained absent for some days. John remained absent for 20 more days than the number of days for which Tom remained absent. When the assignment got completed, it was found that Harry completed only one third of the total work. For how many days more did Harry work than John?a)20b)10c)30d)5Correct answer is option 'B'. Can you explain this answer?
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John, Tom and Harry completed an assignment by working for a total of 60 days. During this period, each one of them remained absent for some days. John remained absent for 20 more days than the number of days for which Tom remained absent. When the assignment got completed, it was found that Harry completed only one third of the total work. For how many days more did Harry work than John?a)20b)10c)30d)5Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about John, Tom and Harry completed an assignment by working for a total of 60 days. During this period, each one of them remained absent for some days. John remained absent for 20 more days than the number of days for which Tom remained absent. When the assignment got completed, it was found that Harry completed only one third of the total work. For how many days more did Harry work than John?a)20b)10c)30d)5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for John, Tom and Harry completed an assignment by working for a total of 60 days. During this period, each one of them remained absent for some days. John remained absent for 20 more days than the number of days for which Tom remained absent. When the assignment got completed, it was found that Harry completed only one third of the total work. For how many days more did Harry work than John?a)20b)10c)30d)5Correct answer is option 'B'. Can you explain this answer?.
John, Tom and Harry completed an assignment by working for a total of 60 days. During this period, each one of them remained absent for some days. John remained absent for 20 more days than the number of days for which Tom remained absent. When the assignment got completed, it was found that Harry completed only one third of the total work. For how many days more did Harry work than John?a)20b)10c)30d)5Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about John, Tom and Harry completed an assignment by working for a total of 60 days. During this period, each one of them remained absent for some days. John remained absent for 20 more days than the number of days for which Tom remained absent. When the assignment got completed, it was found that Harry completed only one third of the total work. For how many days more did Harry work than John?a)20b)10c)30d)5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for John, Tom and Harry completed an assignment by working for a total of 60 days. During this period, each one of them remained absent for some days. John remained absent for 20 more days than the number of days for which Tom remained absent. When the assignment got completed, it was found that Harry completed only one third of the total work. For how many days more did Harry work than John?a)20b)10c)30d)5Correct answer is option 'B'. Can you explain this answer?.
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