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A and B undertake to do a piece of work for Rs.200. Aalone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B?
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A and B undertake to do a piece of work for Rs.200. Aalone can do it i...
Understanding the Work Contribution
To determine B's share from the total payment of Rs. 200, we first need to calculate the work done by A, B, and C.
Work Rates of A and B
- A can complete the work in 6 days, so A's work rate is:
- Work Rate of A = 1/6 of the work per day.
- B can complete the work in 8 days, so B's work rate is:
- Work Rate of B = 1/8 of the work per day.
Combined Work Rate of A and B
- Together, A and B can do:
- Combined Work Rate = (1/6 + 1/8) = (4/24 + 3/24) = 7/24 of the work per day.
Involvement of C
- Let C's work rate be represented as 'x'.
- Together, A, B, and C complete the work in 3 days:
- (7/24 + x) * 3 = 1 (the whole work).
- 7/8 + 3x = 1
- 3x = 1 - 7/8 = 1/8
- x = 1/24 of the work per day.
Calculating Total Work Done
- Now, A, B, and C's combined work rate is:
- Combined Work Rate = 7/24 + 1/24 = 8/24 = 1/3 of the work per day.
Work Done by Each in 3 Days
- In 3 days:
- A's work = 3 * (1/6) = 1/2.
- B's work = 3 * (1/8) = 3/8.
- C's work = 3 * (1/24) = 1/8.
Share of B
- Total work = 1 (100%).
- B's contribution = 3/8.
- Amount earned by B = (3/8) * 200 = Rs. 75.
Conclusion
- B’s share from the total payment of Rs. 200 is Rs. 75.
To determine B's share from the total payment of Rs. 200, we first need to calculate the work done by A, B, and C.
Work Rates of A and B
- A can complete the work in 6 days, so A's work rate is:
- Work Rate of A = 1/6 of the work per day.
- B can complete the work in 8 days, so B's work rate is:
- Work Rate of B = 1/8 of the work per day.
Combined Work Rate of A and B
- Together, A and B can do:
- Combined Work Rate = (1/6 + 1/8) = (4/24 + 3/24) = 7/24 of the work per day.
Involvement of C
- Let C's work rate be represented as 'x'.
- Together, A, B, and C complete the work in 3 days:
- (7/24 + x) * 3 = 1 (the whole work).
- 7/8 + 3x = 1
- 3x = 1 - 7/8 = 1/8
- x = 1/24 of the work per day.
Calculating Total Work Done
- Now, A, B, and C's combined work rate is:
- Combined Work Rate = 7/24 + 1/24 = 8/24 = 1/3 of the work per day.
Work Done by Each in 3 Days
- In 3 days:
- A's work = 3 * (1/6) = 1/2.
- B's work = 3 * (1/8) = 3/8.
- C's work = 3 * (1/24) = 1/8.
Share of B
- Total work = 1 (100%).
- B's contribution = 3/8.
- Amount earned by B = (3/8) * 200 = Rs. 75.
Conclusion
- B’s share from the total payment of Rs. 200 is Rs. 75.
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A and B undertake to do a piece of work for Rs.200. Aalone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B?
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A and B undertake to do a piece of work for Rs.200. Aalone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about A and B undertake to do a piece of work for Rs.200. Aalone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B undertake to do a piece of work for Rs.200. Aalone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B?.
A and B undertake to do a piece of work for Rs.200. Aalone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about A and B undertake to do a piece of work for Rs.200. Aalone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B undertake to do a piece of work for Rs.200. Aalone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B?.
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A and B undertake to do a piece of work for Rs.200. Aalone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B?, a detailed solution for A and B undertake to do a piece of work for Rs.200. Aalone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B? has been provided alongside types of A and B undertake to do a piece of work for Rs.200. Aalone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of B? theory, EduRev gives you an
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