Answer:
The time is 1.967 hours.
Step-by-step explanation:
Given : The winner of a 200 mile race drove his car to victory at a rate of 101.7024 mph.
To find : What was his time (to the nearest thousandth of an hour)?
Solution :
The relationship between distance, speed and time is
[tex]\text{Distnace}=\text{Speed}\times \text{Time}[/tex]
The distance is 200 miles.
The speed of car is 101.7024 miles per hour.
Substitute the value sin the formula,
[tex]\text{Time}=\frac{\text{Distnace}}{\text{Speed}}[/tex]
[tex]\text{Time}=\frac{200}{101.7024}[/tex]
[tex]\text{Time}=1.9665[/tex]
Nearest thousandth of an hour is 1.967 hours.
Therefore, The time is 1.967 hours.