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Jim and Jon drove to Tofino to go surfing. Jim drove the first half of the...

Jim and Jon drove to Tofino to go surfing. Jim drove the first half of the trip at 110km/hr and jon drove the remaining half at 80km/hr. if the trip took 3 hours and 30 minutes, how far is it to tofino?

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Answer #1

Let the total distance be x km

Speed = distance/time

Jim drove furst half of the trip at 110 km/hr

x/2 km at 110 km/hr

Time = distance/speed = (x/2)/110

Time for first half = x/220 hours

Jon drove second half at 80 km/hr

Remaining x/2 km at 80 km/hr

Time = distance/speed = (x/2)/80

Time for second half = x/160 hours

Given Total time taken for complete trip = 3 hours 30 minutes = 3.5 hours

Time for first half + Time for remaining = 3.5 hrs

x/220 + x/160 = 3.5

x(160+220)/35200 = 3.5

380x = 3.5 (3520)

x = 324.2 km

Therefore, it is 324.2 km to Tofino.

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