At each scooter's top speed, Brand A scooter goes 2 miles per hour faster than Brand B. If after traveling at its top speed for 3 hours, Brand A scooter traveled 40.2 miles, at what rate did Brand B scooter travel if it traveled the same distance as Brand A? Write an equation to determine the solution and then write an equivalent equation using only integers. Write an equation to determine the solution.

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 40.2 miles at its top speed, at what rate did Brand B scooter travel at its top speed if traveled the same distance? Write an equation to determine the solution.

Step-by-step explanation:

Given:

Distance traveled by brand A = 40.2 miles

time required to cover distance = 3 hours.

Brand A scooter has a top speed that goes 2 miles per hour faster than Brand B

Let brand B scooter has a top speed of x

Hence Brand A scooter has a top speed will be  

Now we know that Distance traveled by brand A scooter is equal to Brand A scooter top speed multiplied by time reuired to cover the distance by brand A .

Hence the equation to determine solution is  

Now we will find the rate of brand B by solving the same we get.

Hence Brand B will travel at a rate of 11.4 miles per hour.

Step-by-step explanation:

40.2=3(x+2)

134=10x+20

134-20=10x+20-20

114=10x

11.4=x