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15 Java programmers, working in a constant pace, finish a web page in 3 days. If after one day, 9 programmers quit, how many more days are needed to finish the remainder of the job?
- a)5
- b)2
- c)8
- d)4
- e)6
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
15 Java programmers, working in a constant pace, finish a web page in ...
15 Java programmer complete a work in 3 days ..
1 Java programmer complete the work in 45 days..
Amount of work completed by 1 Java programmer in 1 day = 1/45
So, on 1st day amount of work completed = 1/45 * 15 = 1/3
Amount of work left at the end of the 1st day = 2/3
No. of programmers left after 1st day = 6
No. of extra days = (2/3)/(1/45* 6 ) = 5 days.
1 Java programmer complete the work in 45 days..
Amount of work completed by 1 Java programmer in 1 day = 1/45
So, on 1st day amount of work completed = 1/45 * 15 = 1/3
Amount of work left at the end of the 1st day = 2/3
No. of programmers left after 1st day = 6
No. of extra days = (2/3)/(1/45* 6 ) = 5 days.
Most Upvoted Answer
15 Java programmers, working in a constant pace, finish a web page in ...
Problem Analysis
Given that 15 Java programmers can finish a web page in 3 days, we need to determine how many more days are needed to finish the remainder of the job after 9 programmers quit after the first day.
Calculation
To calculate the number of days needed to finish the remainder of the job, we can use the concept of person-days.
Initially, we have 15 programmers working for 3 days, which gives us a total of 15 x 3 = 45 person-days of work.
After the first day, 9 programmers quit, so we are left with 15 - 9 = 6 programmers.
The work completed by these 6 programmers in the first day is equivalent to 6 person-days.
Therefore, the work remaining after the first day is 45 - 6 = 39 person-days.
Since we now have 6 programmers working, we can calculate the number of days needed to complete the remaining work.
The number of days required is given by the equation:
(Number of programmers) x (Number of days) = Total person-days of work
Substituting the values, we have:
6 x (Number of days) = 39
Simplifying the equation, we find:
(Number of days) = 39 / 6 = 6.5
Since the number of days must be a whole number, we round up to the nearest whole number.
Therefore, we need 7 more days to finish the remainder of the job.
Conclusion
After 9 programmers quit, 6 programmers are left to complete the remaining work. These 6 programmers will require 7 more days to finish the job.
Therefore, the correct answer is option A) 5.
Given that 15 Java programmers can finish a web page in 3 days, we need to determine how many more days are needed to finish the remainder of the job after 9 programmers quit after the first day.
Calculation
To calculate the number of days needed to finish the remainder of the job, we can use the concept of person-days.
Initially, we have 15 programmers working for 3 days, which gives us a total of 15 x 3 = 45 person-days of work.
After the first day, 9 programmers quit, so we are left with 15 - 9 = 6 programmers.
The work completed by these 6 programmers in the first day is equivalent to 6 person-days.
Therefore, the work remaining after the first day is 45 - 6 = 39 person-days.
Since we now have 6 programmers working, we can calculate the number of days needed to complete the remaining work.
The number of days required is given by the equation:
(Number of programmers) x (Number of days) = Total person-days of work
Substituting the values, we have:
6 x (Number of days) = 39
Simplifying the equation, we find:
(Number of days) = 39 / 6 = 6.5
Since the number of days must be a whole number, we round up to the nearest whole number.
Therefore, we need 7 more days to finish the remainder of the job.
Conclusion
After 9 programmers quit, 6 programmers are left to complete the remaining work. These 6 programmers will require 7 more days to finish the job.
Therefore, the correct answer is option A) 5.
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15 Java programmers, working in a constant pace, finish a web page in 3 days. If after one day, 9 programmers quit, how many more days are needed to finish the remainder of the job?a)5b)2c)8d)4e)6Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 15 Java programmers, working in a constant pace, finish a web page in 3 days. If after one day, 9 programmers quit, how many more days are needed to finish the remainder of the job?a)5b)2c)8d)4e)6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 15 Java programmers, working in a constant pace, finish a web page in 3 days. If after one day, 9 programmers quit, how many more days are needed to finish the remainder of the job?a)5b)2c)8d)4e)6Correct answer is option 'A'. Can you explain this answer?.
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