Marathon runner A runs at a speed of 7.5 miles per hour (MPH) while the rate of runner B is 8.3 miles per hour (MPH). If the current position of runner A is at the 25-mile mark and runner B is at the 23-mile mark, in how many hours will it take for them to cover the same distance?
You are looking for the time at which they will both be the same distance
rate X time = distance
for the first runner distance = 25 miles + 7.5 m/hr * x where x is the time in hours
theis equals the total distance for the second runner 23 miles + 8.3 m/hr * x
25 + 7.5 x = 23 + 8.3 x solve for x ( in hours) when they will be at the same distance .....