Arithmetic Aptitudes › Time and Work › Question #4617
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QA and B can dig a trench in 12 days, and an individual working alone would take 30 days to dig the same trench. How many days would it take B alone to dig the trench?

ID: #4617 Time and Work 178 views
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#4617Q ID
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Time and WorkTopic
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  • A 45 ✔ ✖
  • B 35 ✔ ✖
  • C 25 ✔ ✖
  • D 20 ✔ ✖
Correct Answer: Option D

Explanation

If A and B can dig the trench in 12 days, then their combined daily rate of progress is 1/12 of the trench per day.
Similarly, if A can dig the trench in 30 days, then his daily rate of progress is 1/30 of the trench per day.
Therefore, B's daily rate of progress is 1/12 - 1/30, which simplifies to 1/20.
So, it would take B alone 20 days to dig the trench.

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