Answer:
Speed of faster group is 4.375 mph and slower group is 1.875 mph
Step-by-step explanation:
Let the travelling speed of the slow hikers be (x) mph.
speed of the faster hikers will be (x + 2.50) mph
The distance covered by both groups after 1 hour is x + ( x + 2.50) miles = 2x + 2.50 miles.
Since distance=Speed*time then
when the two groups meet after 200 hours, they have covered the whole distance when combined hence
1250 = (2x + 2.50)*200
400x + 500 = 1250
400x = 1250 -500 = 750
x = 750/400 = 1.875 mph.
x + 2.50 = 1.875+2.50 = 4.375 mph
Therefore, speed of faster group is 4.375 mph and slower group is 1.875 mph
