Two friend A and B working together completed a work in 26 days. Their skills of doing the work are in the ratio 8 : 5. How many days will B take, if engaged alone?

673/5 days
421/4 days
563/5 days
642/3 days

Correct Answer: 673/5 days

Explanation:

Skill ratio of A and B = 8 : 5
So, the time taken by A and B 5W and 8W, respectively.
According to the question, 1/8W + 1/5W = 1/26
∴ W = (13 x 26)/40
Now, time taken by B is 8W = 8 x 13 x 26/40
= 67³/₅ days.

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