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A is twice as good a workman as B and together they can complete a work in 15 days. In how many days can the work be completed by B alone :?
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A is twice as good a workman as B and together they can complete a wor...
Understanding the Problem
To solve the problem, we first need to establish the work efficiency of A and B. Given that A is twice as good a workman as B, we can denote their work rates.
Defining Work Rates
- Let B's work rate be x (amount of work done in a day).
- Therefore, A's work rate will be 2x (since A is twice as efficient as B).
Combined Work Rate
When A and B work together, their combined work rate is:
- Total work rate = A's rate + B's rate
- Total work rate = 2x + x = 3x
We know they can complete the work together in 15 days. Therefore:
- Total work done in terms of work rate is:
- Total work = Combined work rate × Time taken
- Total work = 3x × 15 = 45x
Finding Work Rate of B
To find how many days B alone can complete the work:
1. The total work is 45x.
2. Since B's work rate is x, the time taken by B to complete the work alone is:
- Time = Total work / B's work rate
- Time = 45x / x = 45 days
Conclusion
Thus, B alone can complete the work in 45 days.
To solve the problem, we first need to establish the work efficiency of A and B. Given that A is twice as good a workman as B, we can denote their work rates.
Defining Work Rates
- Let B's work rate be x (amount of work done in a day).
- Therefore, A's work rate will be 2x (since A is twice as efficient as B).
Combined Work Rate
When A and B work together, their combined work rate is:
- Total work rate = A's rate + B's rate
- Total work rate = 2x + x = 3x
We know they can complete the work together in 15 days. Therefore:
- Total work done in terms of work rate is:
- Total work = Combined work rate × Time taken
- Total work = 3x × 15 = 45x
Finding Work Rate of B
To find how many days B alone can complete the work:
1. The total work is 45x.
2. Since B's work rate is x, the time taken by B to complete the work alone is:
- Time = Total work / B's work rate
- Time = 45x / x = 45 days
Conclusion
Thus, B alone can complete the work in 45 days.
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A is twice as good a workman as B and together they can complete a work in 15 days. In how many days can the work be completed by B alone :?
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A is twice as good a workman as B and together they can complete a work in 15 days. In how many days can the work be completed by B alone :? 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 is twice as good a workman as B and together they can complete a work in 15 days. In how many days can the work be completed by B alone :? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A is twice as good a workman as B and together they can complete a work in 15 days. In how many days can the work be completed by B alone :?.
A is twice as good a workman as B and together they can complete a work in 15 days. In how many days can the work be completed by B alone :? 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 is twice as good a workman as B and together they can complete a work in 15 days. In how many days can the work be completed by B alone :? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A is twice as good a workman as B and together they can complete a work in 15 days. In how many days can the work be completed by B alone :?.
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