SSC Exam  >  SSC Questions  >  Two workers A and B can construct a wall in 1... Start Learning for Free
Two workers A and B can construct a wall in 10 hours and 20 hours respectively and a third worker C can destroy the same wall in 5 hours. A and B start constructing the wall, after 6 hours C joins them. After what time the wall will cease to exist?
  • a)
    16 hours
  • b)
    27 hours
  • c)
    18 hours
  • d)
    9 hours
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two workers A and B can construct a wall in 10 hours and 20 hours resp...
⇒ Let the total amount of work done in constructing a wall be 20 units (L.C.M of 5, 10, and 20)
Hence, work done by A in one hour = 20/10 = 2 units
Work done by B in one hour = 20/20 = 1 unit
Work done by C in one hour = -20/5 = -4 units
⇒ Now, when A and B work together, work done by them in one hour is 2 + 1 = 3 units
They together work for 6 hours, therefore work done in 6 hours = 3 × 6 = 18 units
After 6 hours C joins them, work done by A, B and C in one hour = 2 + 1 - 4 = -1 unit
Time taken to nullify 27 units of work will be x hours,
⇒ 18 + x(-1) = 0
⇒ x = 18 hours
View all questions of this test
Most Upvoted Answer
Two workers A and B can construct a wall in 10 hours and 20 hours resp...
⇒ Let the total amount of work done in constructing a wall be 20 units (L.C.M of 5, 10, and 20)
Hence, work done by A in one hour = 20/10 = 2 units
Work done by B in one hour = 20/20 = 1 unit
Work done by C in one hour = -20/5 = -4 units
⇒ Now, when A and B work together, work done by them in one hour is 2 + 1 = 3 units
They together work for 6 hours, therefore work done in 6 hours = 3 × 6 = 18 units
After 6 hours C joins them, work done by A, B and C in one hour = 2 + 1 - 4 = -1 unit
Time taken to nullify 27 units of work will be x hours,
⇒ 18 + x(-1) = 0
⇒ x = 18 hours
Explore Courses for SSC exam
Two workers A and B can construct a wall in 10 hours and 20 hours respectively and a third worker C can destroy the same wall in 5 hours. A and B start constructing the wall, after 6 hours C joins them. After what time the wall will cease to exist?a)16 hoursb)27 hoursc)18 hoursd)9 hoursCorrect answer is option 'C'. Can you explain this answer?
Question Description
Two workers A and B can construct a wall in 10 hours and 20 hours respectively and a third worker C can destroy the same wall in 5 hours. A and B start constructing the wall, after 6 hours C joins them. After what time the wall will cease to exist?a)16 hoursb)27 hoursc)18 hoursd)9 hoursCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Two workers A and B can construct a wall in 10 hours and 20 hours respectively and a third worker C can destroy the same wall in 5 hours. A and B start constructing the wall, after 6 hours C joins them. After what time the wall will cease to exist?a)16 hoursb)27 hoursc)18 hoursd)9 hoursCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two workers A and B can construct a wall in 10 hours and 20 hours respectively and a third worker C can destroy the same wall in 5 hours. A and B start constructing the wall, after 6 hours C joins them. After what time the wall will cease to exist?a)16 hoursb)27 hoursc)18 hoursd)9 hoursCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Two workers A and B can construct a wall in 10 hours and 20 hours respectively and a third worker C can destroy the same wall in 5 hours. A and B start constructing the wall, after 6 hours C joins them. After what time the wall will cease to exist?a)16 hoursb)27 hoursc)18 hoursd)9 hoursCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC. Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of Two workers A and B can construct a wall in 10 hours and 20 hours respectively and a third worker C can destroy the same wall in 5 hours. A and B start constructing the wall, after 6 hours C joins them. After what time the wall will cease to exist?a)16 hoursb)27 hoursc)18 hoursd)9 hoursCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two workers A and B can construct a wall in 10 hours and 20 hours respectively and a third worker C can destroy the same wall in 5 hours. A and B start constructing the wall, after 6 hours C joins them. After what time the wall will cease to exist?a)16 hoursb)27 hoursc)18 hoursd)9 hoursCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two workers A and B can construct a wall in 10 hours and 20 hours respectively and a third worker C can destroy the same wall in 5 hours. A and B start constructing the wall, after 6 hours C joins them. After what time the wall will cease to exist?a)16 hoursb)27 hoursc)18 hoursd)9 hoursCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two workers A and B can construct a wall in 10 hours and 20 hours respectively and a third worker C can destroy the same wall in 5 hours. A and B start constructing the wall, after 6 hours C joins them. After what time the wall will cease to exist?a)16 hoursb)27 hoursc)18 hoursd)9 hoursCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two workers A and B can construct a wall in 10 hours and 20 hours respectively and a third worker C can destroy the same wall in 5 hours. A and B start constructing the wall, after 6 hours C joins them. After what time the wall will cease to exist?a)16 hoursb)27 hoursc)18 hoursd)9 hoursCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC tests.
Explore Courses for SSC 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