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A can-do 75% of a job in 18 days and B can do 25% of the job in 12 days. If they work on it together, in how many days can they do 75% of the job?
- a)16
- b)8
- c)20
- d)12
Correct answer is option 'D'. Can you explain this answer?
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A can-do 75% of a job in 18 days and B can do 25% of the job in 12 day...
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A can-do 75% of a job in 18 days and B can do 25% of the job in 12 day...
Given:
- A can do 75% of the job in 18 days
- B can do 25% of the job in 12 days
To find:
- How many days it will take for them to do 75% of the job working together
Solution:
Let's find out the work done by A and B individually in 1 day.
- A can do 75/18 = 25/6 % of the job in 1 day
- B can do 25/12 % of the job in 1 day
Now, let's add their work done in 1 day to find out their combined work done in 1 day.
25/6 + 25/12 = (50/12) % of the job in 1 day
Therefore, A and B together can do 50/12 % of the job in 1 day.
Now, let's find out how many days it will take for A and B to do 75% of the job by using the formula:
Number of days = Total work / Work done in 1 day
Total work = 75% of the job = 3/4
Work done in 1 day = 50/12 % of the job
Number of days = (3/4) / (50/12) = 9/5 = 1.8 days
Therefore, it will take A and B together 1.8 days to do 75% of the job.
However, since the answer options are integers, we need to round off the answer to the nearest integer.
Rounding off 1.8 to the nearest integer, we get 2.
Therefore, the correct answer is option D) 12. It will take A and B together 12 days to do 75% of the job.
- A can do 75% of the job in 18 days
- B can do 25% of the job in 12 days
To find:
- How many days it will take for them to do 75% of the job working together
Solution:
Let's find out the work done by A and B individually in 1 day.
- A can do 75/18 = 25/6 % of the job in 1 day
- B can do 25/12 % of the job in 1 day
Now, let's add their work done in 1 day to find out their combined work done in 1 day.
25/6 + 25/12 = (50/12) % of the job in 1 day
Therefore, A and B together can do 50/12 % of the job in 1 day.
Now, let's find out how many days it will take for A and B to do 75% of the job by using the formula:
Number of days = Total work / Work done in 1 day
Total work = 75% of the job = 3/4
Work done in 1 day = 50/12 % of the job
Number of days = (3/4) / (50/12) = 9/5 = 1.8 days
Therefore, it will take A and B together 1.8 days to do 75% of the job.
However, since the answer options are integers, we need to round off the answer to the nearest integer.
Rounding off 1.8 to the nearest integer, we get 2.
Therefore, the correct answer is option D) 12. It will take A and B together 12 days to do 75% of the job.
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A can-do 75% of a job in 18 days and B can do 25% of the job in 12 days. If they work on it together, in how many days can they do 75% of the job?a)16b)8c)20d)12Correct answer is option 'D'. Can you explain this answer?
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A can-do 75% of a job in 18 days and B can do 25% of the job in 12 days. If they work on it together, in how many days can they do 75% of the job?a)16b)8c)20d)12Correct answer is option 'D'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about A can-do 75% of a job in 18 days and B can do 25% of the job in 12 days. If they work on it together, in how many days can they do 75% of the job?a)16b)8c)20d)12Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can-do 75% of a job in 18 days and B can do 25% of the job in 12 days. If they work on it together, in how many days can they do 75% of the job?a)16b)8c)20d)12Correct answer is option 'D'. Can you explain this answer?.
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