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Sahil is twice as efficient as Giraj. Sahil takes 6 days to construct a wall and 4 days to demolish the wall. Sahil and Giraj work on alternate days. Sahil only constructs the wall, but Giraj demolishes it on every alternate day of his work.(i.e., on his first day at work, he constructs the wall and on his 2nd day at work, he demolishes the wall) If Sahil starts construction of the wall, on which day the wall will be complete?
- a)11
- b)12
- c)13
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Sahil is twice as efficient as Giraj. Sahil takes 6 days to construct ...
Sahil constructs the wall in 6 days and demolishes in 4 days.
Giraj constructs the wall in 12 days and demolishes in 8 days. Sahil works on day 1, day 3, day 5, day 7 and so on. Giraj works on day 2, day 4, day 6, day 8 and so on. Workdone by them on consecutive days is
Thus, the wall gets completed on the 11th day.
Hence, option 1.
Most Upvoted Answer
Sahil is twice as efficient as Giraj. Sahil takes 6 days to construct ...
Given information:
- Sahil is twice as efficient as Giraj.
- Sahil takes 6 days to construct a wall and 4 days to demolish the wall.
- Sahil and Giraj work on alternate days.
- Sahil only constructs the wall, but Giraj demolishes it on every alternate day of his work.
- Sahil starts construction of the wall.
To find:
On which day the wall will be complete?
Solution:
Let's assume that the total work is to construct and demolish the wall once.
Efficiency of Sahil: Giraj = 2:1 (Given)
So, if Giraj takes 'x' days to complete the work, then Sahil will take x/2 days to complete the same work.
Total work = Constructing the wall + Demolishing the wall
Sahil takes 6 days to construct the wall
So, in 1 day, Sahil completes 1/6th of the work of constructing the wall.
Giraj takes 4 days to demolish the wall.
So, in 1 day, Giraj completes 1/4th of the work of demolishing the wall.
Now, Sahil and Giraj work on alternate days. So, in 2 days, the work completed will be:
= Sahil's work on Day 1 + Giraj's work on Day 2
= (1/6) + (1/4)
= (2+3)/12
= 5/12
So, in 12 days, the work completed will be:
= Sahil's work on Day 1 + Giraj's work on Day 2 + Sahil's work on Day 3 + Giraj's work on Day 4 + Sahil's work on Day 5 + Giraj's work on Day 6 + Sahil's work on Day 7 + Giraj's work on Day 8 + Sahil's work on Day 9 + Giraj's work on Day 10 + Sahil's work on Day 11 + Giraj's work on Day 12
= (1/6) + (1/4) + (1/6) + (1/4) + (1/6) + (1/4) + (1/6) + (1/4) + (1/6) + (1/4) + (1/6) + (1/4)
= (10+9)/24
= 19/24
So, after 12 days, 19/24th of the work will be completed.
To complete the entire work, 5/24th of the work is left.
Now, Sahil and Giraj will work on alternate days to complete the remaining work.
In 2 days, the work completed will be:
= Sahil's work on Day 1 + Giraj's work on Day 2
= (1/6) + (1/4)
= (2+3)/12
= 5/12
So, in the next 2 days (i.e. on Day 13 and 14), 5/12th of the remaining work will be completed.
Therefore, the wall will be complete on Day 12+2 = 14th day.
Hence, the correct option is (D) None of the above.
- Sahil is twice as efficient as Giraj.
- Sahil takes 6 days to construct a wall and 4 days to demolish the wall.
- Sahil and Giraj work on alternate days.
- Sahil only constructs the wall, but Giraj demolishes it on every alternate day of his work.
- Sahil starts construction of the wall.
To find:
On which day the wall will be complete?
Solution:
Let's assume that the total work is to construct and demolish the wall once.
Efficiency of Sahil: Giraj = 2:1 (Given)
So, if Giraj takes 'x' days to complete the work, then Sahil will take x/2 days to complete the same work.
Total work = Constructing the wall + Demolishing the wall
Sahil takes 6 days to construct the wall
So, in 1 day, Sahil completes 1/6th of the work of constructing the wall.
Giraj takes 4 days to demolish the wall.
So, in 1 day, Giraj completes 1/4th of the work of demolishing the wall.
Now, Sahil and Giraj work on alternate days. So, in 2 days, the work completed will be:
= Sahil's work on Day 1 + Giraj's work on Day 2
= (1/6) + (1/4)
= (2+3)/12
= 5/12
So, in 12 days, the work completed will be:
= Sahil's work on Day 1 + Giraj's work on Day 2 + Sahil's work on Day 3 + Giraj's work on Day 4 + Sahil's work on Day 5 + Giraj's work on Day 6 + Sahil's work on Day 7 + Giraj's work on Day 8 + Sahil's work on Day 9 + Giraj's work on Day 10 + Sahil's work on Day 11 + Giraj's work on Day 12
= (1/6) + (1/4) + (1/6) + (1/4) + (1/6) + (1/4) + (1/6) + (1/4) + (1/6) + (1/4) + (1/6) + (1/4)
= (10+9)/24
= 19/24
So, after 12 days, 19/24th of the work will be completed.
To complete the entire work, 5/24th of the work is left.
Now, Sahil and Giraj will work on alternate days to complete the remaining work.
In 2 days, the work completed will be:
= Sahil's work on Day 1 + Giraj's work on Day 2
= (1/6) + (1/4)
= (2+3)/12
= 5/12
So, in the next 2 days (i.e. on Day 13 and 14), 5/12th of the remaining work will be completed.
Therefore, the wall will be complete on Day 12+2 = 14th day.
Hence, the correct option is (D) None of the above.
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Sahil is twice as efficient as Giraj. Sahil takes 6 days to construct a wall and 4 days to demolish the wall. Sahil and Giraj work on alternate days. Sahil only constructs the wall, but Giraj demolishes it on every alternate day of his work.(i.e., on his first day at work, he constructs the wall and on his 2nd day at work, he demolishes the wall) If Sahil starts construction of the wall, on which day the wall will be complete?a) 11b) 12c) 13d) None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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Sahil is twice as efficient as Giraj. Sahil takes 6 days to construct a wall and 4 days to demolish the wall. Sahil and Giraj work on alternate days. Sahil only constructs the wall, but Giraj demolishes it on every alternate day of his work.(i.e., on his first day at work, he constructs the wall and on his 2nd day at work, he demolishes the wall) If Sahil starts construction of the wall, on which day the wall will be complete?a) 11b) 12c) 13d) None of the aboveCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Sahil is twice as efficient as Giraj. Sahil takes 6 days to construct a wall and 4 days to demolish the wall. Sahil and Giraj work on alternate days. Sahil only constructs the wall, but Giraj demolishes it on every alternate day of his work.(i.e., on his first day at work, he constructs the wall and on his 2nd day at work, he demolishes the wall) If Sahil starts construction of the wall, on which day the wall will be complete?a) 11b) 12c) 13d) None of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sahil is twice as efficient as Giraj. Sahil takes 6 days to construct a wall and 4 days to demolish the wall. Sahil and Giraj work on alternate days. Sahil only constructs the wall, but Giraj demolishes it on every alternate day of his work.(i.e., on his first day at work, he constructs the wall and on his 2nd day at work, he demolishes the wall) If Sahil starts construction of the wall, on which day the wall will be complete?a) 11b) 12c) 13d) None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
Sahil is twice as efficient as Giraj. Sahil takes 6 days to construct a wall and 4 days to demolish the wall. Sahil and Giraj work on alternate days. Sahil only constructs the wall, but Giraj demolishes it on every alternate day of his work.(i.e., on his first day at work, he constructs the wall and on his 2nd day at work, he demolishes the wall) If Sahil starts construction of the wall, on which day the wall will be complete?a) 11b) 12c) 13d) None of the aboveCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Sahil is twice as efficient as Giraj. Sahil takes 6 days to construct a wall and 4 days to demolish the wall. Sahil and Giraj work on alternate days. Sahil only constructs the wall, but Giraj demolishes it on every alternate day of his work.(i.e., on his first day at work, he constructs the wall and on his 2nd day at work, he demolishes the wall) If Sahil starts construction of the wall, on which day the wall will be complete?a) 11b) 12c) 13d) None of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sahil is twice as efficient as Giraj. Sahil takes 6 days to construct a wall and 4 days to demolish the wall. Sahil and Giraj work on alternate days. Sahil only constructs the wall, but Giraj demolishes it on every alternate day of his work.(i.e., on his first day at work, he constructs the wall and on his 2nd day at work, he demolishes the wall) If Sahil starts construction of the wall, on which day the wall will be complete?a) 11b) 12c) 13d) None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Sahil is twice as efficient as Giraj. Sahil takes 6 days to construct a wall and 4 days to demolish the wall. Sahil and Giraj work on alternate days. Sahil only constructs the wall, but Giraj demolishes it on every alternate day of his work.(i.e., on his first day at work, he constructs the wall and on his 2nd day at work, he demolishes the wall) If Sahil starts construction of the wall, on which day the wall will be complete?a) 11b) 12c) 13d) None of the aboveCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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