Answer:
Speed of hikers are 4.4 mph and 7.7 mph
Step-by-step explanation:
Two hikers are 55 miles apart and walking towards each other.
They meet after 10 hours.
Let the speeds of hikers are S and S' mph.
One hiker walks 3.3 mph faster than the other,
S = 3.3 + S'
S' = S - 3.3
Distance traveled by the hiker with higher speed S = Speed × Time
[tex]d_1=S\times 10[/tex]
[tex]d_1=10S[/tex]
Distance traveled by the slower hiker [tex]d_2[/tex] = (S - 3.3) × 10
Total distance between them = 55 miles
[tex]d_1+d_2=55[/tex]
10S + 10(S - 3.3) = 55
20S - 33 = 55
20S = 88
S = 4.4 mph
Speed of first hiker = 4.4 mph
Speed of second hiker = 4.4 + 3.3 = 7.7 mph
