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) bot answer

Answer 1

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 2

To solve this problem, we can set up a proportion to find the distance at which Bike A and Bike B will be the same distance from the starting point.

Let's represent the distance each bike travels with the letter 'd'.

Bike A: d = 30t (where t is the time in hours)
Bike B: d = 25t

Since we want to find the distance at which both bikes are the same distance from the starting point, we can set the two equations equal to each other:

30t = 25t

Simplifying the equation, we get:

5t = 0

Since 5 multiplied by any number will not equal 0, this equation has no solution. Therefore, Bike A and Bike B will never be the same distance from the starting point.

Answer 3

Let's calculate the time it will take for each bike to reach the starting point.

For Bike A:
Time = Distance / Speed = 50 miles / 30 mph = 5/3 hours

For Bike B:
Time = Distance / Speed = 100 miles / 25 mph = 4 hours

Since Bike A will take 5/3 hours to reach the starting point and Bike B will take 4 hours, we need to find the distance at the end of 4 hours for both bikes to be the same distance from the starting point.

For Bike A:
Distance = Speed * Time = 30 mph * 5/3 hours = 50 miles

Therefore, after 4 hours, both Bike A and Bike B will be 50 miles from the starting point.