SOLUTION: Linda headed east at 20 miles per hour on her bicycle at 9am. Three hours later Shana headed west from the same place walking at 6 miles per hour. What time was it when they were 1

Question 64232This question is from textbook An Incremental Development
: Linda headed east at 20 miles per hour on her bicycle at 9am. Three hours later Shana headed west from the same place walking at 6 miles per hour. What time was it when they were 164 miles apart?
Thank you! This question is from textbook An Incremental Development

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Linda headed east at 20 miles per hour on her bicycle at 9am. Three hours later Shana headed west from the same place walking at 6 miles per hour. What time was it when they were 164 miles apart?
:
Let t = time (in hrs) Linda rode her bike
Then (t-3) = Shana's time walking
:
Write a distance equation: dist = speed * time
:
Linda's dist + Shana's dist = 164
20t + 6(t-3) = 164
20t + 6t - 18 = 164
26t = 164 + 18
26t = 182
t = 182/26
t = 7 hrs, Linda is on the road
:
Time: 9 AM + 7 hrs = 4 PM, they will be 162 miles apart
:
Check using Linda's and Shana's distances:
20(7) + 6(7-3) =
140 + 24 = 164 mi
:
Could you follow this line of thinking OK; did make sense to you?

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