Question

Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a dice distance the speed R varies inversely with time T. In one particular pair of markings, R is 52 mph when T is 9 seconds. Find the speed of a car that travels the given distance in 6 seconds.

Answer 1

Answer:

Speed of car is 78 mph which travels the distance in 6 seconds.

Step-by-step explanation:

Given:

Speed of the car R = 52 mph

Time t = 9 seconds

We need to find the speed of a car that travels the given distance in 6 seconds.

Now first we will find the distance traveled by the car in 9 seconds.

Distance can be calculated by multiplying speed and time.

Distance = $Speed \times Time = 52\times9 = 468 miles.$

Hence Total distance travel by car is 468 miles.

Now we will find the speed of a car that travels the given distance in 6 seconds.

Speed can be calculate by dividing Distance by time.

Hence;

Speed = $\frac{Distance}{Time}=\frac{468}{6}= 78 \ mph$

Hence Speed of car is 78 mph which travels the distance in 6 seconds.