Respuesta :
Given:
a)
The formula for finding the distance traveled, based on the speed and time, is D= RT, where D is distance, R is rate and T is time.
The unit for D is miles and the unit for T is minutes.
b)
A bicyclist rides for 140 minutes at an average speed of 14 miles per hour.
c)
A bicyclist ride to cover 60 miles in 1.5 hours.
Required:
a)
We need to find the units fir R.
b)
We need to find the distance.
c)
We need to speed.
Explanation:
a)
The given formula is
[tex]D=RT[/tex]Divide both sides of the equation by T.
[tex]\frac{D}{T}=\frac{RT}{T}[/tex][tex]\frac{D}{T}=R[/tex]Substitute D =miles and T= minutes in the formula.
[tex]miles=R\times minutes[/tex][tex]\frac{miles}{minutes}=R[/tex]We can rewrite miles by the hour. since 60 minutes = one hour
[tex]60\text{ }\frac{miles}{hour}=R[/tex]The most common unit of speed is miles/ hour.
Answer:
The unit of R is miles/hour.
b)
T =140 minutes and R =14 miles per hour.
Convert the minutes onto hours.
Divide 140 by 60 to convert units.
[tex]T=\frac{140}{60}hours[/tex][tex]T=\frac{7}{3}hours[/tex]Consider the formula.
[tex]D=RT[/tex]Substitute R =14 and T=7/3 in the formula.
[tex]D=14\times\frac{7}{3}[/tex][tex]D=32.7miles[/tex]Answer:
The bicycle was ridden 32.7 miles.
c)
D =60 and T =1.5
Consider the formula.
[tex]D=RT[/tex]Substitute D =60 and T =1.5 in the formula.
[tex]60=R\times1.5[/tex]Divide both sides by 1.5.
[tex]\frac{60}{1.5}=R\times\frac{1.5}{1.5}[/tex][tex]40=R[/tex]Answer:
The speed of the bicycle is 40 miles/hour.
Final answer:
