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A student completes an assignment in 3 days. He gets distracted on the second day and works at 50% efficiency. Total time to finish now?

Correct answer: C. 4.5

  • A. 3.5
  • B. 4
  • C. 4.5
  • D. 5

Explanation

To determine the total time the student takes to complete the assignment, consider the work done each day. Normally, the student finishes the assignment in 3 days, so he completes 1/3 of the work each day. On the second day, he works at 50% efficiency, completing only 1/6 of the assignment rather than 1/3. This leaves him needing an extra 1/6 of the assignment worth of time, equivalent to half a day, resulting in a total of 4.5 days. Other options fail to accurately account for the impact of halving the efficiency on the second day.

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