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A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in
  • a)
    5 days
  • b)
    9 days
  • c)
    10 days
  • d)
    6 days
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A and B together can complete a work in 3 days. They start together bu...
(A+B)'s one day's work = 1/3 part
(A+B) works 2 days together = 2/3 part
Remaining work = 1−2/3 = 1/3 part
1/3 part of work is completed by A in two days
Hence, one day's work of A = 1/6
Then, one day's work of B = 1/3−1/6 = 1/6
So, B alone can complete the whole work in 6 days.
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Most Upvoted Answer
A and B together can complete a work in 3 days. They start together bu...
Given: A and B together complete a work in 3 days.

To find: B alone could do the work in how many days.

Approach:

Let's assume that the total work is 3 units (LCM of 3 and 2).

A and B together can complete 1 unit of work in 1 day.

So, in 2 days, they can complete 2 units of work.

After 2 days, B leaves the work. So, A completes the remaining 1 unit of work in 2 more days.

Let's calculate the efficiency of A and B.

Efficiency of A + Efficiency of B = 1/3 (As they complete 1 unit of work in 3 days)

Efficiency of A = 1/3 - Efficiency of B (As they work together)

Let's assume the efficiency of B as x.

Efficiency of A = 1/3 - x

Using the above information, we can form the equation:

2(1/3 + x) + 2(1/3 - x) = 3

Solving the above equation, we get x = 1/6

Hence, the efficiency of B = 1/6

To find the time taken by B to complete 1 unit of work, we can use the formula:

Efficiency = Work/Time

1/6 = 1/Time

Time taken by B to complete 1 unit of work = 6 days

Therefore, the correct option is (D) 6 days.
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A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work ina)5 daysb)9 daysc)10 daysd)6 daysCorrect answer is option 'D'. Can you explain this answer?
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