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A can do three times the work done by B in one day. They together finish 2/5 of the work in 9 days. The number of days by which B can do the work alone are 
  • a)
    120 days
  • b)
    100 days
  • c)
    30 days
  • d)
    90 days
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A can do three times the work done by B in one day. They together fini...
efficiency of A = 3 efficiency of 
2/5 th of work done by (A+B) = 9 days
Total work (A+B)= 45/2days will be
completed
Total work=days × efficiency (A+B)

No. of days for B
View all questions of this test
Most Upvoted Answer
A can do three times the work done by B in one day. They together fini...
efficiency of A = 3 efficiency of 
2/5 th of work done by (A+B) = 9 days
Total work (A+B)= 45/2days will be
completed
Total work=days × efficiency (A+B)

No. of days for B
Free Test
Community Answer
A can do three times the work done by B in one day. They together fini...
Given information:
A can do three times the work done by B in one day.
Together A and B finish 2/5 of the work in 9 days.

To find:
The number of days by which B can do the work alone.

Solution:
Let's assume that B can complete the work in x days.
Therefore, A can complete the work in x/3 days.

Now, let's calculate the work done by A and B together in one day.
As per the question, they finish 2/5 of the work in 9 days.
So, they complete 2/5 * 9 = 18/5 of the work in 1 day.

Let's represent the work done by A in one day as 'a' and the work done by B in one day as 'b'.
Therefore, we have: a + b = 18/5

We know that A can do three times the work done by B in one day.
So, we can write: a = 3b

Substituting the value of 'a' in terms of 'b', we get:
3b + b = 18/5
4b = 18/5
b = 9/10

Therefore, B can complete the work alone in 10/9 days.

Answer:
The number of days by which B can do the work alone is 10/9 days, which is approximately equal to 1.11 days.
Hence, option D, 90 days is the correct answer.
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A can do three times the work done by B in one day. They together finish2/5of the work in 9 days. The number of days by which B can do the work alone area)120 daysb)100 daysc)30 daysd)90 daysCorrect answer is option 'D'. Can you explain this answer?
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