Question

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.

Answer 1

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