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A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :
- a)8 days
- b)10 days
- c)12 days
- d)15 days
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A and B can complete a work in 15 days and 10 days respectively. They ...
Let total work be 30 units (LCM of 10 and 15).
In one day, A can do 2 units of work and B can do 3 units of work.
In one day, both A and B can do 5 units of work.
In two days, A and B will complete 10 units of work. Remaining 20 units can be completed by A in 10 days (at rate of 2 units per day).
Hence, whole work will be completed in 12 days.
Most Upvoted Answer
A and B can complete a work in 15 days and 10 days respectively. They ...
Given:
A can complete work in 15 days
B can complete work in 10 days
Let's assume that the total work is such that it can be completed in 150 units of work.
So, A can complete 10 units of work in a day (i.e., 150 units of work in 15 days)
Similarly, B can complete 15 units of work in a day (i.e., 150 units of work in 10 days)
Working together, they can complete 25 units of work in a day (10 units by A + 15 units by B)
After 2 days of work, the work completed is 50 units (25 units per day x 2 days)
Now, the remaining work is 100 units (150 units of work - 50 units completed)
As A alone is left to complete the work, he can complete 10 units of work in a day.
So, the total number of days taken by A to complete the remaining work is 100/10 = 10 days
Therefore, the total number of days taken to complete the work is 2 days (initial work done by A and B) + 10 days (remaining work done by A alone) = 12 days.
Hence, the correct answer is option (c) 12 days.
A can complete work in 15 days
B can complete work in 10 days
Let's assume that the total work is such that it can be completed in 150 units of work.
So, A can complete 10 units of work in a day (i.e., 150 units of work in 15 days)
Similarly, B can complete 15 units of work in a day (i.e., 150 units of work in 10 days)
Working together, they can complete 25 units of work in a day (10 units by A + 15 units by B)
After 2 days of work, the work completed is 50 units (25 units per day x 2 days)
Now, the remaining work is 100 units (150 units of work - 50 units completed)
As A alone is left to complete the work, he can complete 10 units of work in a day.
So, the total number of days taken by A to complete the remaining work is 100/10 = 10 days
Therefore, the total number of days taken to complete the work is 2 days (initial work done by A and B) + 10 days (remaining work done by A alone) = 12 days.
Hence, the correct answer is option (c) 12 days.
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Community Answer
A and B can complete a work in 15 days and 10 days respectively. They ...
Total work = 30 (LCM of 15 nd 10)A = 2(per day work)B = 3(per day work)
A nd B work together for 2 days so (5×2=10)remaining work are 20 unit
now A work alone = 20/2 =10
total days to complete the work are 2+10=12 days
A nd B work together for 2 days so (5×2=10)remaining work are 20 unit
now A work alone = 20/2 =10
total days to complete the work are 2+10=12 days
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A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :a)8 daysb)10 daysc)12 daysd)15 daysCorrect answer is option 'C'. Can you explain this answer?
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A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :a)8 daysb)10 daysc)12 daysd)15 daysCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :a)8 daysb)10 daysc)12 daysd)15 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :a)8 daysb)10 daysc)12 daysd)15 daysCorrect answer is option 'C'. Can you explain this answer?.
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