Ahighway patrolman spots a speeding car. he clocks it at 70 mph and takes after it 0.5 miles behind. if the patrolman travels at an average rate of 90 mph, how long before he overtakes the car?

The patrolman overtakes the car after 1.5 minutes.

Step-by-step explanation:

The speed of the speeding car is 70 mph and the speed of the patrolman is 90 mph.

Suppose, the patrolman takes hour to overtake the car.

We know that,  

So, the distance traveled by the car in hour miles

and the distance traveled by the patrolman in hour miles.

Given that, the patrolman was 0.5 miles behind.

So, the equation will be......

Now,  0.025 hours minutes.

So, the patrolman overtakes the car after 1.5 minutes.

a

b

d

step-by-step explanation: