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 find the distance at which bike A and bike B will be the same distance from the starting point, we can set up a proportion.

Let x be the number of miles that both bikes have traveled from the starting point.

For bike A: the distance traveled is 50 miles + x miles.
For bike B: the distance traveled is 100 miles + x miles.

The ratio of the distance traveled by bike A to the distance traveled by bike B is equal to the ratio of their speeds.

(50 + x) / 30 = (100 + x) / 25

Cross multiplying, we get:

(50 + x) * 25 = (100 + x) * 30

1250 + 25x = 3000 + 30x

5x = 1750

x = 350

Therefore, bike A and bike B will be the same distance from the starting point after traveling 350 miles.