Answer:
Speed of Jane = 57.5 mph
Explanation:
Paul leaves her house at 12:00 pm and drives south to a state park. He arrives at 2:30 p.m.
Time taken = 2:30 p.m - 12:00 pm = 2:30 hours = 2.5 hours
The driving distance from the house to the state park = Speed of Paul x Time taken by Paul
S₁ = Speed of Paul x 2.5
At 12:00 p.m. , Jane leaves her house and drives north to the beach. She arrives at 1:30 p.m.
Time taken = 1:30 p.m - 12:00 pm = 1:30 hours = 1.5 hours
The driving distance from the house to the beach = Speed of Jane x Time taken by Jane
S₂ = Speed of Jane x 1.5
The driving distance from the beach to the state park is 230 mi.
Let speed of Jane and Paul be u.
S₁ + S₂ = 230
2.5 u + 1.5 u = 230
4 u = 230
u = 57.5 mph
Speed of Jane = 57.5 mph