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) (Show Source):
From 11:30 am to 1:54 pm, the time is + = 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 + = = 1.25 hours.
Hence, the required average rate under the question is = 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.