SOLUTION: Please help with the following: Show all work as you solve the following problem and write complete answers, including appropriate units: Trevon left school and drove east. Two

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Question 1097579: Please help with the following:
Show all work as you solve the following problem and write complete answers, including appropriate units:
Trevon left school and drove east. Two hours later Molly left school driving 10 km/h faster in an effort to catch up to him. After four hours Molly finally caught up. What was Trevon's average speed?
Thanks!

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Please help with the following:
Show all work as you solve the following problem and write complete answers, including appropriate units:
Trevon left school and drove east. Two hours later Molly left school driving 10 km/h faster in an effort to catch up to him. After four hours Molly finally caught up. What was Trevon's average speed?
Thanks!
Let Trevon's average speed be S
Then Molly's is: S + 10
When Trevon arrived at the "catch-up point," he'd traveled 6 (2 + 4) hours
When Molly arrived at the "catch-up point," she'd traveled 4 hours
As they'd traveled the same distance when she caught up, we get the following DISTANCE equation: 6S = 4(S + 10)
6S = 4S + 40
6S - 4S = 40
2S = 40
S, or Trevon's average speed = highlight_green%28matrix%281%2C4%2C+40%2F2%2C+%22=%22%2C+20%2C+%22km%2Fh%22%29%29