SOLUTION: Jodi and her friend Marcos decided to meet at the park since it was exactly 1 mile from each other homes. Marcos walked to the park at a constant rate of 4 miles per hour. Jodi wal

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Question 815101: Jodi and her friend Marcos decided to meet at the park since it was exactly 1 mile from each other homes. Marcos walked to the park at a constant rate of 4 miles per hour. Jodi walked the first half-mile at a rate of 5 miles per hours and the second half-mile at the rate of 3 miles per hour. Both of the friends were quite surprised when they arrived at the park at exactly the same time! What was Jodi’s average speed walking to the park and which of the friends left home first?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
r*t=d
4*x=1
x=1/4
Marcos took 1/4 hour
5x=1/2
x=1/10
3y=1/2
y=1/6
5x=3y
5*1/10=1/2
3*1/6=1/2
1/10+1/6=t
3/30+5/30=t
8/30=t
16/60=16 minutes

jodi left home a minute earlier than marcos
her average was
1/4/15
15/4
3.75 mph