Question

1. Brand A scooter has a top speed that goes 2 miles per hour faster than Brand B. If after 3 hours, Brand A scooter traveled 24 miles at its top speed, at what rate did Brand B scooter travel at its top speed if it traveled the same distance? Write an equation to determine the solution. Identify the if-then moves used in your solution.

Answer 1

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 = $x$ miles/hr

According to question:

Top speed/rate of brand A scooter = $x+2$ miles/hr

Formula:

$Distance = Speed \times Time$

Distance is given to be equal to 24 miles:

24 = ($x+2$) $\times 3$  ...... (1)

Solving the above equation by first dividing the equation on both sides with 3:

$\dfrac{24}{3} = \dfrac{(x+2)\times 3}{3}\\\Rightarrow 8 = (x+2)$

Now subtracting 2 from both the sides:

$\Rightarrow 8-2=x+2-2\\\Rightarrow x=6\ miles/hr$

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.