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A and B can do a piece of work in 10 days, B and C can do the same work in 15 days while C and A can do it in 20 days. In how many days can B alone do the same work?
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A and B can do a piece of work in 10 days, B and C can do the same wor...
Given Information:
- A and B can do a piece of work in 10 days
- B and C can do the same work in 15 days
- C and A can do it in 20 days
Let's Calculate:
Finding Individual Rates:
Let the rate of work of A, B, and C be a, b, and c respectively.
From the given information:
- A and B together complete the work in 10 days, so their combined rate = 1/10
- B and C together complete the work in 15 days, so their combined rate = 1/15
- C and A together complete the work in 20 days, so their combined rate = 1/20
Solving Equations:
Combining the rates of A and B, B and C, and C and A:
a + b = 1/10
b + c = 1/15
c + a = 1/20
Solving these equations simultaneously, we get:
a = 1/30, b = 1/15, c = 1/20
So, B alone can complete the work in 15 days.
Therefore, B alone can do the same work in 15 days.
- A and B can do a piece of work in 10 days
- B and C can do the same work in 15 days
- C and A can do it in 20 days
Let's Calculate:
Finding Individual Rates:
Let the rate of work of A, B, and C be a, b, and c respectively.
From the given information:
- A and B together complete the work in 10 days, so their combined rate = 1/10
- B and C together complete the work in 15 days, so their combined rate = 1/15
- C and A together complete the work in 20 days, so their combined rate = 1/20
Solving Equations:
Combining the rates of A and B, B and C, and C and A:
a + b = 1/10
b + c = 1/15
c + a = 1/20
Solving these equations simultaneously, we get:
a = 1/30, b = 1/15, c = 1/20
So, B alone can complete the work in 15 days.
Therefore, B alone can do the same work in 15 days.
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A and B can do a piece of work in 10 days, B and C can do the same work in 15 days while C and A can do it in 20 days. In how many days can B alone do the same work?
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A and B can do a piece of work in 10 days, B and C can do the same work in 15 days while C and A can do it in 20 days. In how many days can B alone do the same work? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A and B can do a piece of work in 10 days, B and C can do the same work in 15 days while C and A can do it in 20 days. In how many days can B alone do the same work? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can do a piece of work in 10 days, B and C can do the same work in 15 days while C and A can do it in 20 days. In how many days can B alone do the same work?.
A and B can do a piece of work in 10 days, B and C can do the same work in 15 days while C and A can do it in 20 days. In how many days can B alone do the same work? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A and B can do a piece of work in 10 days, B and C can do the same work in 15 days while C and A can do it in 20 days. In how many days can B alone do the same work? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can do a piece of work in 10 days, B and C can do the same work in 15 days while C and A can do it in 20 days. In how many days can B alone do the same work?.
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