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A can do some work in 24 days, B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many more days are required to complete the whole work? A.35 B.30 C.22 D.20?
Most Upvoted Answer
A can do some work in 24 days, B can do it in 32 days and C can do it ...
Solution:
Given, A can do the work in 24 days, B can do it in 32 days, and C can do it in 60 days.
Let the total work be 240 units.
Let the efficiency of A, B, and C be a, b, and c respectively.
Then, a = 240/24 = 10 units/day
b = 240/32 = 7.5 units/day
c = 240/60 = 4 units/day
Calculation of work done by A, B, and C in 6 and 8 days
Let x be the number of days taken to complete the work.
Let A work for 6 days and B work for 8 days.
Total work done by A and B in 6 days = 6a + 8b = 6(10) + 8(7.5) = 90 units
Remaining work = 240 - 90 = 150 units
Total work done by A, B, and C in x days = xa + (x-6)b + (x-14)c
= x(10) + (x-6)(7.5) + (x-14)(4)
= 10x + 7.5x - 45 + 4x - 56
= 21.5x - 101
Calculation of remaining work
As per the given question, A left after 6 days and B left after 8 days. Therefore, the remaining work is done by C.
Work done by C in (x-14) days = (x-14)c = (x-14)(4) units
Calculation of total work done
Total work done = Work done by A + Work done by B + Work done by C
= 6a + 8b + (x-14)c
= 60 + 60 + 4x - 56
= 4x + 4
Calculation of x
Total work done = 240 units
4x + 4 = 240
4x = 236
x = 59
Therefore, the whole work will be completed in 59 days.
Answer: Option A (35) is incorrect. Option B (30) is incorrect. Option C (22) is incorrect. Option D (20) is incorrect.
Community Answer
A can do some work in 24 days, B can do it in 32 days and C can do it ...
C 22
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A can do some work in 24 days, B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many more days are required to complete the whole work? A.35 B.30 C.22 D.20?
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A can do some work in 24 days, B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many more days are required to complete the whole work? A.35 B.30 C.22 D.20? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A can do some work in 24 days, B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many more days are required to complete the whole work? A.35 B.30 C.22 D.20? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do some work in 24 days, B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many more days are required to complete the whole work? A.35 B.30 C.22 D.20?.
A can do some work in 24 days, B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many more days are required to complete the whole work? A.35 B.30 C.22 D.20? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A can do some work in 24 days, B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many more days are required to complete the whole work? A.35 B.30 C.22 D.20? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do some work in 24 days, B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many more days are required to complete the whole work? A.35 B.30 C.22 D.20?.
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