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.

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.

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

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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