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A is twice as good as workman as B. Together, they finish the work in 14 days. In how many days can it be done by each separately?
- a)A = 19 days, B = 38 days
- b)A = 15 days, B= 30 days
- c)A = 21 days, B = 42 days
- d)A = 14 days, B = 28 days
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A is twice as good as workman as B. Together, they finish the work in...
As per the question, A do twice the work as done by B.
View all questions of this test
So A : B = 2 : 1
Also (A + B)'s one-day work = 1 / 14
To get days in which B will finish the work,
let's calculate work done by B in 1 day
= (1 / 14) x (1 / 3) = 1 / 42
So B will finish the work in 42 days and A will finish the work in 21 days.
Most Upvoted Answer
A is twice as good as workman as B. Together, they finish the work in...
Understanding the Problem
A is twice as efficient as B, meaning if B's work rate is x, then A's work rate is 2x. Together, they complete the work in 14 days.
Combined Work Rate
- Let the total work be represented as 1 unit.
- Work done in one day by A and B together is 1/14 (since they finish the work in 14 days).
Individual Work Rates
- A's work rate = 2x
- B's work rate = x
- Combined work rate: 2x + x = 3x
Setting up the equation:
- 3x = 1/14
- Solving for x gives x = 1/42.
Calculating Individual Rates
- B's work rate (x) = 1/42. Thus, B can complete the work alone in 42 days.
- A's work rate (2x) = 2 * (1/42) = 1/21. Thus, A can complete the work alone in 21 days.
Conclusion
- A can complete the work alone in 21 days.
- B can complete the work alone in 42 days.
Thus, the answer is option 'C': A = 21 days, B = 42 days.
A is twice as efficient as B, meaning if B's work rate is x, then A's work rate is 2x. Together, they complete the work in 14 days.
Combined Work Rate
- Let the total work be represented as 1 unit.
- Work done in one day by A and B together is 1/14 (since they finish the work in 14 days).
Individual Work Rates
- A's work rate = 2x
- B's work rate = x
- Combined work rate: 2x + x = 3x
Setting up the equation:
- 3x = 1/14
- Solving for x gives x = 1/42.
Calculating Individual Rates
- B's work rate (x) = 1/42. Thus, B can complete the work alone in 42 days.
- A's work rate (2x) = 2 * (1/42) = 1/21. Thus, A can complete the work alone in 21 days.
Conclusion
- A can complete the work alone in 21 days.
- B can complete the work alone in 42 days.
Thus, the answer is option 'C': A = 21 days, B = 42 days.
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A is twice as good as workman as B. Together, they finish the work in 14 days. In how many days can it be done by each separately?a)A = 19 days, B = 38 daysb)A = 15 days, B= 30 daysc)A = 21 days, B = 42 daysd)A = 14 days, B = 28 daysCorrect answer is option 'C'. Can you explain this answer?
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