It takes 3 workers a total of 9 hours to build a giant machine with each worker working at the same rate. If 3 workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 2:00 PM, at what time will the machine be complete?  Choose the correct choice from the following choices:
A) 5:15  B) 5:26  C) 5:37  D) 5:48  E) 5:59
3 workers build 1/9 of a machine in one hour.   1 worker builds 1/27 of a machine in one hour.   In the first 3 hours, 3 workers build 3*(1/27)*3=9/27 of a machine   From 2:00 to 3:00, 4 workers build another 4/27. The total is 13/27.   From 3:00 to 4:00, 5 workers build another 5/27. The total is 18/27.   From 4:00 to 5:00, 6 workers build another 6/27. The total is 24/27.   To build another 3/27, 7 workers need (3/7)*60 minutes which is about 26 minutes.   The machine is complete at about 5:26.   The answer is 5:26.
<result>B</result>
It takes 3 workers a total of 9 hours to build a giant machine with each worker working at the same rate. If 3 workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 2:00 PM, at what time will the machine be complete?