SOLUTION: Two friends live 60 miles apart. They ride their bikes to meet each other. Sally heads east at 21 mph. Therese heads west riding at a rate of 15 mph. How far does each cyclist

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Question 104324This question is from textbook Algebra I
: Two friends live 60 miles apart. They ride their bikes to meet each other. Sally heads east at 21 mph. Therese heads west riding at a rate of 15 mph. How far does each cyclist ride in t hours. Write and solve an equation to find when they meet. This question is from textbook Algebra I

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Two friends live 60 miles apart. They ride their bikes to meet each other. Sally heads east at 21 mph. Therese heads west riding at a rate of 15 mph. How far does each cyclist ride in t hours. Write and solve an equation to find when they meet.
:
Let t = time in hrs when they will meet
:
We know that when they meet they will have traveled a total of 60 mi.
From this fact we can make a simple distance equation: Distance = Speed * time
:
S's dist + T's dist = 60 miles
21t + 15t = 60
36t = 60
t = 60/36
t = 5%2F3 = 12%2F3 hrs or 1 hr 40 min
:
:
Find how far each will travel and check solution for t:
S's dist + T's distance = 60 miles
21*5%2F3 + 15*5%2F3 =
35 miles + 25 miles = 60 miles