SOLUTION: A police car passed a truck which was traveling at 80km/h and 6 minutes later was 3 km ahead of the truck. What was the speed of the police car?
Question 212371: A police car passed a truck which was traveling at 80km/h and 6 minutes later was 3 km ahead of the truck. What was the speed of the police car? Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! Police Car was traveling at 110 km/h.
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Rate * Time = Distance
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Time = 6 minutes / 60 = .1 hours
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Truck Rate = 80 km/h
Truck Time = .1 hours
Truck Distance = 80 * .1 = 8 km
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Police Car Rate = x km/h
Police Car Time = .1 hours
Police Car Distance = 11 km
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11 km is 3 more km than the truck because the police car traveled 3 km more than the truck in the same amount of time.
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Rate * Time = Distance
For the Police Car, this formula becomes:
x * .1 = 11
Solve for x to get:
x = 110 km
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Police Car was traveling at 110 km/h.
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Both traveled for 6 minutes
The Truck traveled 8 kilometers at 80 km/h
The Police Car traveled 11 kilometers at 110 km/h
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6 minutes = .1 hours
.1 * 80 = 8
.1 * 110 = 11
11 - 8 = 3
The police Car was 3 miles ahead of the truck after 6 minutes.
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