SOLUTION: A motorist travelling at 80 km/hr is being chased by a police car at 148 km/hr. If the police car starts from 3.5 km back, how long does it take to catch the motorist? Leave time i

Question 793391: A motorist travelling at 80 km/hr is being chased by a police car at 148 km/hr. If the police car starts from 3.5 km back, how long does it take to catch the motorist? Leave time in hours.
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Let t = time it takes the police car to catch up to the speeding motorist.
During that time the speeder travels a distance d given by
(1) d = 80t while the policy car travels that distance plus 3.5km or
(2) d + 3.5 = 148t
Put (1) into (2) to get
(3) 148t = 80t + 3.5 or
(4) 68t = 3.5 or
(5) t = 0.0514...
Answer: The police car takes 0.0514+ hours to catch up to the speeder.
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