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?
25 + 7.5 x = 23 + 8.3 x solve for x ( hours)
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 .....