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

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.

`\small\bold{Distance = Speed × Time = 52 × 9 = 468miles}`

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 ,

`\small\bold{Speed =(Distance)/(Time) =(468)/(6)= 78 mph}`

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

Answer 2

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

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 * Time = 52*9 = 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 =
`(Distance)/(Time)=(468)/(6)= 78 \ mph`

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