Brand A scooter has a top speed that is 2 miles per hour faster than Brand B. If after a certain number of hours, Brand A scooter traveled 24 miles, at what rate did Brand B scooter travel at its top speed?
Write an equation to determine the solution. Identify the steps used in your solution.
Answer (3)
The top speed of Brand B scooter is 4 mph. This was determined by assuming an equal travel time for both scooters and relating the total distance traveled by Brand A scooter to its speed, which was 2 mph faster than Brand B. ;
To determine at what rate Brand B scooter travels at its top speed, we first set up an equation with the given information. We know that Brand A has a top speed that is 2 miles per hour faster than Brand B. If Brand A traveled 24 miles after one hour (since 'after hours' is not specific, we assume it is 1 hour to align with the 'top speed' context), then its top speed is 24 miles per hour. Therefore, we can state that the top speed of Brand B, which we shall call 'V', is equal to 24 miles per hour minus 2 miles per hour.
Here's the equation: V + 2 = 24
To solve for V, we subtract 2 from both sides of the equation:
V + 2 - 2 = 24 - 2
V = 22
So the top speed of Brand B scooter is 22 miles per hour.
The top speed of Brand B scooter is 4 mph, determined by analyzing the distances traveled by both Brand A and B scooters, given that Brand A is 2 mph faster and traveled 24 miles. By setting up equations based on their speeds and distances, we found the solution. Lastly, we assumed both scooters were traveling for the same duration to find Brand B's speed.
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