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

6 miles/hr

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 * Time`

Distance is given to be equal to 24 miles:

24 = (
`x+2`)
`* 3` ...... (1)

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

`(24)/(3) = ((x+2)* 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.