After robbing a bank, a criminal jumps in his car, and heads down a straight roa

Question

After robbing a bank, a criminal jumps in his car, and heads down a straight road to his house, which is located 4.00 mi from the bank. After driving 3.20 miles, he runs over a spike strip placed by the police, and reduces his speed, covering the remaining distance to his house at 20mi/hr. The total travel time to his house was 7.00 min.

Questions: What was the velocity of the criminal before hitting the spike strip? How much time elapsed between the criminal leaving the bank and the criminal hitting the strike strip?

Explanation / Answer

Total time taken = 7*60 = 420 sec

Time taken after struck by Spike = 0.04 hour = 144 sec

Thus remaining time = 276 sec = 0.0766 hr

Velocity = 3.20/276 = 41.74 mi/hr

So time elapsed between the criminal leaving the bank and the criminal hitting the strike strip = 0.0766 hr

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