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A can do a piece of work in 20 days and B can do the same work in 30 days. In how many days can both finish the whole work working together?
- a)10
- b)12
- c)15
- d)18
Correct answer is option 'B'. Can you explain this answer?
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A can do a piece of work in 20 days and B can do the same work in 30 d...
Hence, Option B is correct.
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A can do a piece of work in 20 days and B can do the same work in 30 d...
Working together to finish a piece of work:
To determine how many days it will take for A and B to finish the work together, we need to calculate their combined work rate.
Work rate of A and B:
- A can finish the work in 20 days, so A's work rate = 1/20.
- B can finish the work in 30 days, so B's work rate = 1/30.
Combined work rate:
When A and B work together, their combined work rate is the sum of their individual work rates. Therefore, their combined work rate = 1/20 + 1/30 = 3/60 + 2/60 = 5/60 = 1/12.
Calculating the number of days to finish the work together:
To find out how many days it will take for A and B to finish the work together, we use the formula:
Number of days = Total work / Combined work rate
Since the total work is 1, and the combined work rate is 1/12, we have:
Number of days = 1 / (1/12) = 12 days.
Therefore, A and B will finish the whole work working together in 12 days, which corresponds to option B.
To determine how many days it will take for A and B to finish the work together, we need to calculate their combined work rate.
Work rate of A and B:
- A can finish the work in 20 days, so A's work rate = 1/20.
- B can finish the work in 30 days, so B's work rate = 1/30.
Combined work rate:
When A and B work together, their combined work rate is the sum of their individual work rates. Therefore, their combined work rate = 1/20 + 1/30 = 3/60 + 2/60 = 5/60 = 1/12.
Calculating the number of days to finish the work together:
To find out how many days it will take for A and B to finish the work together, we use the formula:
Number of days = Total work / Combined work rate
Since the total work is 1, and the combined work rate is 1/12, we have:
Number of days = 1 / (1/12) = 12 days.
Therefore, A and B will finish the whole work working together in 12 days, which corresponds to option B.
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A can do a piece of work in 20 days and B can do the same work in 30 days. In how many days can both finish the whole work working together?a)10b)12c)15d)18Correct answer is option 'B'. Can you explain this answer?
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