SOLUTION: Every day Mike leaves his farm at 11:30 a.m. to take a load of potatoes to the chip producers. If he averages 50 km/h he arrives at 1:54 p.m., but if he averages 80 km/h he arrives

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Question 1149743: Every day Mike leaves his farm at 11:30 a.m. to take a load of potatoes to the chip producers. If he averages 50 km/h he arrives at 1:54 p.m., but if he averages 80 km/h he arrives at 1 p.m. At what speed must he travel to arrive at 12:45 p.m.?
Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.

From 11:30 am to 1:54 pm, the time is 30%2F60 + 154%2F60 = 0.5 + 1.9 = 2.4 hours.


At the average rate of 50 km/h, the distance is  2.4*50 = 120 kilometers.


From 11:30 am to 12:45pm, the time is  30%2F60 + 45%2F60 = 75%2F60 = 1.25 hours.


Hence, the required average rate under the question is  120%2F1.25 = 96 km/h.  ANSWER

Solved.

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Notice that this fragment in the problem's condition  "but if he averages 80 km/h he arrives at 1 p.m."  is  EXCESSIVE  info.

It is  NOT  NECESSARY  and is not used in the solution.