A car is traveling at 48 miles per hour. What is the speed of the car in centimeters per second? (1 mile = 5,280 feet, 1 foot = 12 inches, 1 centimeter = 0.39 inch)
Solution:
We have 48 [tex] \frac{miles}{hour} [/tex]
To convert, miles to centimeters.
Let us convert miles to feet and then inches and then centimeters.
1miles=5280feet
And, 1 foot=12inches
So, 5280 feet or 1 miles =12*5280inches
So, 1miles=63360inches
Now, Let us convert inches to centimeters
1centimeter=0.39inches
Or, 1 inch= [tex] \frac{1}{0.39} [/tex] centimeter
So, 63360inches (or 1 mile)= [tex] \frac{63360}{0.39} [/tex] centimeter
1mile or 63360inches=162461.54centimeter
1mile=162461.54 centimeter
We have, 48 [tex] \frac{miles}{hour} [/tex]
We have, 48 *[tex] \frac{162461.54 centimeter}{60minutes} [/tex]
We have, 48* [tex] \frac{162461.54 centimeter}{60*60seconds} [/tex]
So, We have, 48* [tex] \frac{162461.54 centimeter}{3600seconds} [/tex]
=48*[tex] \frac{162461.54}{3600} [/tex][tex] \frac{centimeters}{second} [/tex]
=48*45.13[tex] \frac{centimeters}{second} [/tex]
=2166.15[tex] \frac{centimeters}{second} [/tex]
Answer:= Speed of the car in centimeters per second is 2166.15 centimeters/second
