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A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in :
- a)5 days
- b)6 days
- c)10 days
- d)10.5 days
Correct answer is option 'C'. Can you explain this answer?
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A can finish a work in 24 days, B in 9 days and C in 12 days. B and C ...
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A can finish a work in 24 days, B in 9 days and C in 12 days. B and C ...
To solve this problem, we need to determine the rate at which each individual can complete the work. Once we have that information, we can calculate how much work is completed by B and C in 3 days, and then determine how long it would take A to complete the remaining work.
Let's start by calculating the rate at which each person can complete the work:
Rate of A = 1/24 (A can finish the work in 24 days)
Rate of B = 1/9 (B can finish the work in 9 days)
Rate of C = 1/12 (C can finish the work in 12 days)
Now, let's calculate how much work is completed by B and C in 3 days:
Work done by B and C in 1 day = Rate of B + Rate of C
= 1/9 + 1/12
= 4/36 + 3/36
= 7/36
Work done by B and C in 3 days = (7/36) * 3
= 21/36
Now, let's determine how much work is remaining:
Work remaining = 1 - (Work done by B and C in 3 days)
= 1 - (21/36)
= 15/36
Finally, we can calculate how long it would take A to complete the remaining work:
Rate of A = 1/24
So, the time taken by A to complete the remaining work = (Work remaining) / (Rate of A)
= (15/36) / (1/24)
= (15/36) * (24/1)
= 10
Therefore, A will take 10 days to complete the remaining work.
Hence, the correct answer is option C) 10 days.
Let's start by calculating the rate at which each person can complete the work:
Rate of A = 1/24 (A can finish the work in 24 days)
Rate of B = 1/9 (B can finish the work in 9 days)
Rate of C = 1/12 (C can finish the work in 12 days)
Now, let's calculate how much work is completed by B and C in 3 days:
Work done by B and C in 1 day = Rate of B + Rate of C
= 1/9 + 1/12
= 4/36 + 3/36
= 7/36
Work done by B and C in 3 days = (7/36) * 3
= 21/36
Now, let's determine how much work is remaining:
Work remaining = 1 - (Work done by B and C in 3 days)
= 1 - (21/36)
= 15/36
Finally, we can calculate how long it would take A to complete the remaining work:
Rate of A = 1/24
So, the time taken by A to complete the remaining work = (Work remaining) / (Rate of A)
= (15/36) / (1/24)
= (15/36) * (24/1)
= 10
Therefore, A will take 10 days to complete the remaining work.
Hence, the correct answer is option C) 10 days.
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A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in :a)5 daysb)6 daysc)10 daysd)10.5 daysCorrect answer is option 'C'. Can you explain this answer?
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A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in :a)5 daysb)6 daysc)10 daysd)10.5 daysCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in :a)5 daysb)6 daysc)10 daysd)10.5 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in :a)5 daysb)6 daysc)10 daysd)10.5 daysCorrect answer is option 'C'. Can you explain this answer?.
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