Defence Exam  >  Defence Questions  >  A and B can separately do a work in 20 and 15... Start Learning for Free
A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be– 
  • a)
    45 days
  • b)
    35 days 
  • c)
    40 days
  • d)
    None of these 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A and B can separately do a work in 20 and 15 days respectively. They ...
View all questions of this test
Most Upvoted Answer
A and B can separately do a work in 20 and 15 days respectively. They ...
Let's find the rate at which A and B work.

A can complete the work in 20 days, so their work rate is 1/20 of the work per day.
B can complete the work in 15 days, so their work rate is 1/15 of the work per day.

Working together, their combined work rate is (1/20 + 1/15) = 7/60 of the work per day.

They worked together for 6 days, so they completed (6 * 7/60) = 7/10 of the work.

After B was replaced by C, they finished the remaining 3/10 of the work in 4 days.

Let's find the rate at which C works.

The work done by C in 4 days is 3/10 of the total work.
So, C's work rate is (3/10) / 4 = 3/40 of the work per day.

Therefore, C can complete the work alone in 40/3 days, which is approximately 13.33 days.
Explore Courses for Defence exam
A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be–a)45 daysb)35 daysc)40 daysd)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be–a)45 daysb)35 daysc)40 daysd)None of theseCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be–a)45 daysb)35 daysc)40 daysd)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be–a)45 daysb)35 daysc)40 daysd)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be–a)45 daysb)35 daysc)40 daysd)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence. Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be–a)45 daysb)35 daysc)40 daysd)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be–a)45 daysb)35 daysc)40 daysd)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be–a)45 daysb)35 daysc)40 daysd)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be–a)45 daysb)35 daysc)40 daysd)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be–a)45 daysb)35 daysc)40 daysd)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Defence tests.
Explore Courses for Defence exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev