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

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(53765) (Show Source): You can put this solution on YOUR website!
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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.

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