Exercise 2 solution

Naismith: minutes = km / 5 x 60 + ascent_m / 10.

(a) 6 km, 300 m: 72 + 30 = 102 minutes (1 h 42 min).
(b) 10 km, 600 m: 120 + 60 = 180 minutes (3 h).
(c) 3.5 km, 150 m: 42 + 15 = 57 minutes.
(d) 8 km, flat: 96 minutes (1 h 36 min).

Pacing, 65 paces per 100 m:
  130 paces: 130 / 65 x 100 = 200 m.
  320 paces: 320 / 65 x 100 = 492 m (about 490 m).

Python check:

def naismith(km, ascent_m):
    return km / 5 * 60 + ascent_m / 10

def distance_from_paces(paces, per100):
    return paces / per100 * 100

for km, a in [(6, 300), (10, 600), (3.5, 150), (8, 0)]:
    print(naismith(km, a))
print(distance_from_paces(130, 65), round(distance_from_paces(320, 65)))

Output:
102.0
180.0
57.0
96.0
200.0 492