Arithmetic Aptitudes › Time and Work › Question #4641
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QIf A and B can complete a piece of work together in 30 days, and after A works for 16 days, B takes 44 days to finish the remaining work alone, how many days will it take B to complete the entire work by themselves?

ID: #4641 Time and Work 271 views
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#4641Q ID
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Time and WorkTopic
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  • A 50 ✔ ✖
  • B 40 ✔ ✖
  • C 70 ✔ ✖
  • D 60 ✔ ✖
Correct Answer

Explanation

If we let A's 1 day's work be represented by x and B's 1 day's work be represented by y,
then the equations x + y = 1 and 16x + 44y = 1 can be used to determine that x = 1 and y = 1.
This means that B's 1 day's work is equal to 1.
Therefore, B alone will take 60 days to finish the entire work

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