At each scooter’s top speed brand a goes 2 miles per hour faster than brand b. After traveling at its top speed for 3 hours brand a scooter

Question

At each scooter’s top speed brand a goes 2 miles per hour faster than brand b. After traveling at its top speed for 3 hours brand a scooter traveling 40.2

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Alexandra 1 week 2021-09-15T01:36:38+00:00 1 Answer 0

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    2021-09-15T01:37:58+00:00

    Question is Incomplete, Complete question is given below.

    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.

    Answer:

    The equation to determine solution is  40.2 = (2+x)3.

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

    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 2 + x

    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 40.2 = (2+x)3.

    Hence the equation to determine solution is  40.2 = (2+x)3

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

    40.2 = 6+3x\\3x = 40.2-6\\3x = 34.2\\x= 11.4 \ m/h

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

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