Speeds on a hike

The hiking trail leading from Velká Bíteš to Veverská Bítýška is approximately 25 and 1/3 km long. From Velká Bíteš the 1st group of hikers set out at 6:00 a.m. in the morning and from Bítýška the second group of hikers at 7:10 a.m. Both groups met at the Mill in Žleb at 9:00 a.m. How far is the mill from Bíteš and how far from Bítýška, if the second group had a route 2 km shorter? At what average speeds did each group go?

Final Answer:

a =  13 23 = 41/3 km
b =  11 23 = 35/3 km
v1 =  4 59 = 41/9 km/h
v2 =  6 411 = 70/11 km/h

Step-by-step explanation:

s=2531=25+31=325 3+1=375+1=37625.3333 km  a+b=s a = b+2  km  (b+2)+b=s (b+2)+b=25.333333333333  2b=23.333333  b=223.33333333=11.66666667  b=33511.666667  a=b+2=11.6667+2=341 km=1332 km=13.6667 km
b==335 km=11.6667 km
v1=9.006.00a=9.006.00341=941 km/h=4.5556 km/h



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