A runner hopes to complete the 10,000-m run in less than 30.0 min. after running at constant speed for exactly 26.0 min, there are still 1500 m to go.

Let v = the running speed

After running at constant speed for 26 min, the distance traveled is

d = (v m/min) * (26 min) = 26v m

Because there are 1500 m to go, the distance traveled is

10000 - 1500 = 8500 m

The running speed is

v = (8500 m) / (26 min) = 326.9 m/min

In km/h, the speed is

v = (0.3269 km/min) * (60 min/h) = 19.6 km/h

Answer: The running speed is 19.6 km/h