Answer:
89.6 m/min and 5.376 km/hr
Step-by-step explanation:
The first step in any word problem with variables is to fill in the variables that you know. We are given [tex]p[/tex], 0.8 meters. We can plug 0.8 into the given equation to solve for [tex]n[/tex].
[tex]\frac{n}{p}=140\\\frac{n}{0.8}=140\\0.8*\frac{n}{0.8}=140*0.8\\n=112[/tex]
We now know two things: Bernard's step length is 0.8 meters and he takes 112 steps per minute. Multiply those two numbers together to find how many meters Bernard will cover in those 112 steps, and there are your meters per minute.
[tex]0.8*112=89.6[/tex]
Bernard travels at a speed of 89.6 meters per minute.
Next, we need to convert to kilometers per hour. The conversion for meters to kilometers is to divide by 1000, and if we do that, we come up with a speed of 0.0896 kilometers per minute. Since there are 60 minutes in an hour, we can multiply by 60 to get the distance over an hour:
[tex]0.0896*60=5.376[/tex]
Bernard travels at a speed of 5.376 kilometers per hour.
I hope this helps!
