Question

An accident reconstruction technician calculates that a car was traveling at 33 meters per second at the time of impact. If 1 mile= 1.6 km, how fast was the car traveling in miles per hour?

Answer 1

Answer: The speed of the car in miles per hour is 74.25 miles/hr.

Step-by-step explanation:

We are given that car is travelling with a speed of 33 m/s and we need to convert it into miles/hr.

For that we use the conversions:

1 kilometer = 1000 meters

1 mile = 1.6 kilometer = 1600 meters

`1m=(1)/(1600)km=(1)/(1600)mile`

1 hour = 3600 seconds

`1s=(1)/(3600)hr`

Now, converting the speed of car from m/s to miles/hr, we get:

`\Rightarrow ((33m)/(s))((1mile)/(1600m))=(33miles)/(1600s)\\\\\Rightarrow ((33miles)/(1600s))((3600s)/(1hr))=((33* 3600)miles)/(1600hr)\\\\\Rightarrow 74.25miles/hr`

Hence, the speed of the car in miles per hour is 74.25 miles/hr.