SOLUTION: Pony starts 3 hr before horse. Horse catches pony after 6 hrs. horse speed given find pony’s speed?

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Question 335581: Pony starts 3 hr before horse. Horse catches pony after 6 hrs. horse speed given find pony’s speed?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Pony starts 3 hr before horse.
Horse DATA:
time = 6 ; rate = x mph ; distance = rt = 6x miles
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Pony DATA:
time = 9 ; rate = k mph ; distance = rt = 9k
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Horse catches pony after 6 hrs.
If horse speed is given, find pony’s speed?
----
Equation:
distance horse = distance pony
6x = 9k
k = (2/3)x
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Pony's speed is 2/3 Horse's speed.
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Cheers,
Stan H.