Question
Asked Jun 15, 2019
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On a reality tv show, an officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min head start before him. The officer overtakes Jennifer in 12 mins, how fast was Jennifer traveling?

Please explain. 

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Expert Answer

Step 1

An officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min head start before him. 

The officer overtakes Jennifer in 12 mins. 

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s 90 mph Officer Jennifer 3 min 12 min

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Step 2

Speed of officer = 90 mph 

Time taken to overtake Jennifer = 12 min 

Now, we change 12 minutes to hour

As we know, 

In 60 minutes = 1 hour 

  In 1 minute = 1/60 hour 

In 12 minutes = 12 x 1/60 = 1/5 hours

Relation between distance, time and speed 

Distance = speed * time 

Distance covered by officer = 90 * 1/5 

                                                              = 18 miles 

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Distance covered by officer to overtakes Jeniifer 1 90x 5 = 18 miles

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Step 3

Let speed of Jennifer be x mph
Time taken by Jennifer = 12 + 3
                                                    = 15 minutes

  In 1 minute = 1/60 hour 

In 15 minutes = 15 x 1/60 = 1/4 hours

Total distance co...

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Total distance covered by Jeniifer, 1 =xx- 4 x miles 4

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Algebra

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