Question 1086621: ``A police car is moving 40kph faster than a bus. The time that it takes the bus to travel 3km, the police car travels 5 km. Find their speeds.
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Answer by htmentor(1343)   (Show Source):
You can put this solution on YOUR website! p = 40 + b, where b = the bus's speed and p = the police car's speed
In a certain time, t, the bus and car travel 5 and 3 km, respectively:
p = 5/t and b = 3/t -> 5/p = 3/b
5/(40+b) = 3/b
Solving for b gives 5b = 120 + 3b -> b = 60
So the bus speed is 60 kph, and the police car's speed is 100 kph
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