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?

Answer 1

To determine when both bikes will be the same distance from the starting point, we need to find the time it takes for each bike to travel the same distance.

Let's assume that after x hours, both bikes will have traveled the same distance from the starting point.

For bike A: Distance = Speed × Time
The distance traveled by bike A is given by 30x.

For bike B: Distance = Speed × Time
The distance traveled by bike B is given by 25x.

Now, we want the distance traveled by bike A and bike B to be equal:
30x = 25x

Solving for x:
5x = 50
x = 10

After 10 hours, both bike A and bike B will be the same distance from the starting point.

To find the distance traveled by each bike at this time:
For bike A: Distance = Speed × Time
Distance = 30 × 10 = <<30*10=300>>300 miles

For bike B: Distance = Speed × Time
Distance = 25 × 10 = <<25*10=250>>250 miles

Therefore, after 10 miles, both bike A and bike B will be 250 miles from the starting point.