Answer:
6 miles/hr
Step-by-step explanation:
Given:
Top speed of Brand A scooter goes 2 miles per hour faster than Brand B.
Distance traveled by brand A scooter on its top speed in 3 hours = 24 miles
To find:
The rate at which brand B traveled the same distance at its top speed ?
Solution:
Let the top speed/rate of brand B scooter = [tex]x[/tex] miles/hr
According to question:
Top speed/rate of brand A scooter = [tex]x+2[/tex] miles/hr
Formula:
[tex]Distance = Speed \times Time[/tex]
Distance is given to be equal to 24 miles:
24 = ([tex]x+2[/tex]) [tex]\times 3[/tex] ...... (1)
Solving the above equation by first dividing the equation on both sides with 3:
[tex]\dfrac{24}{3} = \dfrac{(x+2)\times 3}{3}\\\Rightarrow 8 = (x+2)[/tex]
Now subtracting 2 from both the sides:
[tex]\Rightarrow 8-2=x+2-2\\\Rightarrow x=6\ miles/hr[/tex]
Therefore, the answer is:
Top speed of scooter B is 6 miles/hr.
The if-then moves used to solve the equation (1) are:
Dividing by a non zero number on both sides, then subtracting a number on both sides.
