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P can complete a job in 30 days. Q alone can complete the same job in 20 days. P works for 18 days and then the remaining job is completed by Q. How many days will it take Q to complete the remaining job alone?
  • a)
    6 days
  • b)
    8 days
  • c)
    16 days
  • d)
    7 days
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
P can complete a job in 30 days. Q alone can complete the same job in ...
Given,
P's 1 day work =1/30
Q's 1 day work = 1/20
As we know,
Work = Efficiency x Time
P's 18 day work = 18/30 = 3/5
Remaining work = 1 - (3/5) = 2/5
Q's 2/5 day work = 
Q will complete the remaining job alone in 8 days.
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Community Answer
P can complete a job in 30 days. Q alone can complete the same job in ...
Given Data:
P can complete the job in 30 days
Q can complete the job in 20 days

Calculation:
Let the total work be 60 units (LCM of 20 and 30)

P's work efficiency:
P can complete the job in 30 days, so P's work efficiency = 60/30 = 2 units/day

Q's work efficiency:
Q can complete the job in 20 days, so Q's work efficiency = 60/20 = 3 units/day

Work done by P in 18 days:
P works for 18 days, so the work done by P = 18 * 2 = 36 units

Remaining work:
Remaining work = Total work - Work done by P
Remaining work = 60 - 36 = 24 units

Time taken by Q to complete the remaining work:
Q's work efficiency = 3 units/day
Time taken by Q = Remaining work / Q's work efficiency
Time taken by Q = 24 / 3 = 8 days
Therefore, it will take Q 8 days to complete the remaining job alone. So, the correct answer is option 'B'.
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P can complete a job in 30 days. Q alone can complete the same job in 20 days. P works for 18 days and then the remaining job is completed by Q. How many days will it take Q to complete the remaining job alone?a)6 daysb)8 daysc)16 daysd)7 daysCorrect answer is option 'B'. Can you explain this answer?
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P can complete a job in 30 days. Q alone can complete the same job in 20 days. P works for 18 days and then the remaining job is completed by Q. How many days will it take Q to complete the remaining job alone?a)6 daysb)8 daysc)16 daysd)7 daysCorrect answer is option 'B'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about P can complete a job in 30 days. Q alone can complete the same job in 20 days. P works for 18 days and then the remaining job is completed by Q. How many days will it take Q to complete the remaining job alone?a)6 daysb)8 daysc)16 daysd)7 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P can complete a job in 30 days. Q alone can complete the same job in 20 days. P works for 18 days and then the remaining job is completed by Q. How many days will it take Q to complete the remaining job alone?a)6 daysb)8 daysc)16 daysd)7 daysCorrect answer is option 'B'. Can you explain this answer?.
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