Q13. A and B can do a piece of work in 12 days. B and C together can do it in 15 days. If A is twice

Q: What is the correct answer for CUET UG Mathematics Q13?

The correct answer is B. Let the daily work rates of A, B, and C be a, b, and c, respectively.From the question: a + b = 1/12 (1) and b + c = 1/15 (2). Also, A is twice as good as C, so a = 2c (3).Substitute (3) into (1): 2c + b = 1/12 (4).Subtract (2) from (4): (2c + b) - (b + c) = 1/12 - 1/15.This simplifies to c = (5 - 4)/60 = 1/60. So C can do the work in 60 days.Now find a using (3): a = 2 * (1/60) = 1/30. So A can d

Q: Q13. A and B can do a piece of work in 12 days. B and C together can do it in 15 days. If A is twice as good a workman as C, find the number of days in which B alone can do the work?

The correct answer is B. Let the daily work rates of A, B, and C be a, b, and c, respectively.From the question: a + b = 1/12 (1) and b + c = 1/15 (2). Also, A is twice as good as C, so a = 2c (3).Substitute (3) into (1): 2c + b = 1/12 (4).Subtract (2) from (4): (2c + b) - (b + c) = 1/12 - 1/15.This simplifies to c = (5 - 4)/60 = 1/60. So C can do the work in 60 days.Now find a using (3): a = 2 * (1/60) = 1/30. So A can d

Question

Q13. A and B can do a piece of work in 12 days. B and C together can do it in 15 days. If A is twice as good a workman as C, find the number of days in which B alone can do the work?

FirstInTest · Accepted Answer

Let the daily work rates of A, B, and C be a, b, and c, respectively.From the question: a + b = 1/12 (1) and b + c = 1/15 (2). Also, A is twice as good as C, so a = 2c (3).Substitute (3) into (1): 2c + b = 1/12 (4).Subtract (2) from (4): (2c + b) - (b + c) = 1/12 - 1/15.This simplifies to c = (5 - 4)/60 = 1/60. So C can do the work in 60 days.Now find a using (3): a = 2 * (1/60) = 1/30. So A can do the work in 30 days.Substitute c = 1/60 into (2): b + 1/60 = 1/15 => b = 1/15 - 1/60 = (4 - 1)/60 = 3/60 = 1/20.So, B's daily work rate is 1/20, meaning B alone can do the work in 20 days.

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