# SOLUTION: (a) A highway patrolman traveling at the speed limit is passed by a car going 15 mph faster than the speed limit. After one minute, the patrolman speeds up to 100 mph. How long a

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: (a) A highway patrolman traveling at the speed limit is passed by a car going 15 mph faster than the speed limit. After one minute, the patrolman speeds up to 100 mph. How long a      Log On

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 Click here to see ALL problems on Travel Word Problems Question 516061: (a) A highway patrolman traveling at the speed limit is passed by a car going 15 mph faster than the speed limit. After one minute, the patrolman speeds up to 100 mph. How long after speeding up until the patrolman catches up with the speeding car. The speed limit is 55 mph. (b) Same question, but this time the patrolman speeds up to a speed of v mph (v>70). (a)_______ minutes (b)________ minutesAnswer by mananth(12270)   (Show Source): You can put this solution on YOUR website!Car speed 70 mph Patrolman speed 100 mph Car speed 10:00 Patrolman speed 10:30 Car speed will have covered 1.17 miles before Patrolman speeds up catch up distance= 1.17 miles catch up speed = 100 -70 mph catch up speed = 30 mph Catchup time = catchup distance/catch up speed catch up time= 1.17 / 30 catch up time= 0.04 hours 2.33 minutes catchup speed = v-70 catchup distance = 1.17 miles time taken = 1.17/(v-70) *60 minutes