Question

In a bike race, bike A is 50 miles from the starting point and travels 30 miles per hour. Bike B is 100 miles from the starting
point and travels 25 miles per hour. After how many miles will bike A and bike B be the same distance from the starting
point? (1 point)

Answer 1

To determine the time it takes for each bike to travel the same distance from the starting point, we can set up the equation:

distance = speed × time

For bike A, we have:
50 miles = 30 miles/hour × time

Simplifying the equation for bike A, we get:
time = 50 miles / 30 miles/hour
time = 5/3 hours

Now, let's set up the equation for bike B:
distance = speed × time
distance = 25 miles/hour × time

Since both bikes will travel the same distance from the starting point, we can set their distances equal to each other:
30t = 25t

Next, we solve for t:
30t - 25t = 0
5t = 0
t = 0

Therefore, both bike A and bike B will be the same distance from the starting point after 0 hours.