SOLUTION: Leona walks at a rate of 5 miles per hour and Sam walks at a rate of 6 miles per hour. If they start at the same place and walk in a straight line. Sam starts a half hour after Leo

Algebra ->  Expressions-with-variables -> SOLUTION: Leona walks at a rate of 5 miles per hour and Sam walks at a rate of 6 miles per hour. If they start at the same place and walk in a straight line. Sam starts a half hour after Leo      Log On


   

Question 836510: Leona walks at a rate of 5 miles per hour and Sam walks at a rate of 6 miles per hour. If they start at the same place and walk in a straight line. Sam starts a half hour after Leona.
1. How long will it take Sam to meet Leona?
2. How many miles would each have walked?
3. Leona and Sam leave on two different buses going in opposite direction. One traveling at 60 mph and the other at 40 mph in how amny hours will they be 600 miles apart?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Before looking at questions 1, 2, and 3, make a data table.

____________speed___________time___________distance
Leona________5______________t-1/2__________d
Sam__________6_______________t_____________d

Not yet known are actual time t or distance d, assuming that your question number 1 would be wanted.
Question 1 and 2 are related; but question 3 is different, being a different general form.

Questions 1 and 2 will use R*T=D to make two equations which can be solved for t and for d.

SYSTEM TO BEGIN:
------------------------
5(t-1/2)=d
------------------------
6t=d
------------------------

The rest is left for you to continue. Two equations in two unknowns.