Question:

It takes six technicians a total of 10 hours to build a new server from Direct Computer, with each working at the same rate. If six technicians start to build the server at 11 am, and one technician per hour is added beginning at 5 pm, at what time will the server be completed?

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Track work rates and time incrementally to determine completion times.
Updated On: Aug 4, 2025
  • 6:40 pm
  • 2:7 pm
  • 7:20 pm
  • 8 pm
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The Correct Option is C

Solution and Explanation

The total work required to build the server is \( 6 \times 10 = 60 \) technician-hours. From 11 am to 5 pm, the 6 technicians work for 6 hours, completing \( 6 \times 6 = 36 \) technician-hours. From 5 pm onwards, each additional technician adds 1 more technician-hour per hour. So, at 7:20 pm, the total work will be completed. Thus, the server is completed by 7:20 pm.
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