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How much of a 100 miles trip completed in 3 hours was driven in the city if a truck drives at an average of 45 mph on the highway and 20 mph in the city?
time = distance/speed
Let the distance driven in the city at 20 mph be c miles
Then the distance driven on the highway is 100 - c miles
time driven on highway + time driven in city = total time
→ (100 - c) miles/45 mph + c miles/20 mph = 3 hours
→ (4(100 - c) + 9c)/180 = 3
→ 400 - 4c + 9c = 540
→ 5c = 140
→ c = 28
Therefore the truck drove for 28 miles in the city.
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