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# Mike the Farmer

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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.?

A) 84 km/h

B) 82 km/h

C) 90 km/h

D) 98 km/h

E) 96 km/h

Dec 2, 2017
edited by jonathanxu999  Dec 2, 2017

#1
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11:30 to 1:54   is  2:24 hr travel time   =   2.4 hours

2:4 hr x 50 km/hr = 120 km

120 km/80km/hr = 1.50 hr = 1hr 30 min    =~ 1 PM      OK....that checks out  (this is extraneous info)

11:30 to 12:45 is  1 hr 15 min    = 1.25 hr

120 km/1.25 hr = 96 km/hr  to arrive at 12:45 PM

Dec 2, 2017
edited by ElectricPavlov  Dec 2, 2017

#1
+17331
+2

11:30 to 1:54   is  2:24 hr travel time   =   2.4 hours

2:4 hr x 50 km/hr = 120 km

120 km/80km/hr = 1.50 hr = 1hr 30 min    =~ 1 PM      OK....that checks out  (this is extraneous info)

11:30 to 12:45 is  1 hr 15 min    = 1.25 hr

120 km/1.25 hr = 96 km/hr  to arrive at 12:45 PM

ElectricPavlov Dec 2, 2017
edited by ElectricPavlov  Dec 2, 2017