Arithmetic Aptitudes › Time and Work › Question #4646
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QIf A can complete a job in 12 days and B is 60% more efficient than A, how long does it take for B to do the same job alone?

ID: #4646 Time and Work 168 views
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Time and WorkTopic
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  • A 6 ✔ ✖
  • B 7.5 ✔ ✖
  • C 8.5 ✔ ✖
  • D 9.5 ✔ ✖
Correct Answer: Option B

Explanation

B is 60% more efficient than A, 

so the ratio of the time it takes B to complete the job to the time it takes A to complete the job is 

100% + 60% = 160% : 100%. 

This can also be written as 8 : 5.

Let's suppose it takes B alone x days to complete the job.

Then the ratio of the time it takes B to complete the job to the time it takes A to complete the job is 

8 : 5, or 8x : 12.

Solving for x, 

we get 8x = 12, so x = 7 1/2 days.

 This is the number of days it takes B alone to complete the job.
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