Question

At 12:00 p.m. , Jane leaves her house and drives north to the beach. She arrives at 1:30 p.m. Also leaving at 12:00 p.m., her brother Paul leaves her house and drives south to a state park. He arrives at 2:30 p.m. The driving distance from the beach to the state park is 230 mi. Jane and Paul drove at the same speed. What was their speed?

Answer 1

1.5 x + 2.5x = 240
4x = 240
x = 240/4 
x = 60

Answer 2

Answer:

Speed of Jane = 57.5 mph

Step-by-step 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