Question

Shaan walks 2.5 meters per second. His brother Dhvan walks 1 meter

per second. Dhvan wants to have a race. Shaan knows that he walks faster,
but he wants to give his brother a head start of 45 meters, so it doesn't
seem that he is allowing him to win. How many meters long should the
race be in order for Dhvan to win?

Answer 1

The race must be up to 29 meters for Dhvan to win.

Explanation:

Since Shaan walks 2.5 meters per second, while his brother Dhvan walks 1 meter per second, and Dhvan wants to have a race, and Shaan knows that he walks faster, but he wants to give his brother a head start of 45 meters, so it doesn't seem that he is allowing him to win, to determine how many meters long should the race be in order for Dhvan to win the following calculation must be performed:

45 / (2.5 - 1) = X

45 / 1.5 = X

30 = X

Therefore, the race must be up to 29 meters for Dhvan to win.