MCQ Practice Single Best Answer Topic: Time and Work

Q If 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?

Question ID
#4646
Subchapter
Time and Work
Action
Choose one option below

Choose Your Answer

Click an option to check whether your answer is correct.

  • A 6
  • B 7.5
  • C 8.5
  • D 9.5
Correct Answer: 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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