Question : A and B can do a piece of work in 10 days and 15 days, respectively. They worked together, but 5 days before the completion of the work, A left. In how many days was the work completed?
Option 1: 4
Option 2: 8
Option 3: 6
Option 4: 9
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Correct Answer: 9
Solution :
Given: Time taken by A = 10 days
Time taken by B = 15 days
A left the work 5 days before the completion of the work.
Let the total work be 1 unit.
⇒ A's 1 day work =
And B's 1 day work =
Both (A + B)'s 1 day's work =
Let
Now, A left 5 days before the completion of the work
⇒ For
Work done in
Work done by B in 5 days =
Now, Work done together in
⇒
⇒
⇒
Hence, the correct answer is 9.
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