Question 990855
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D=distance one way; R=Annette's speed going to Shawnee 
R+11mph=speed returning
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4(R)=3(R+11mph)
4R=3R+33mph
R=33mph
ANSWER 1: Her speed going was 33 mph.
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Return speed=R+11mph=33mph+11mph=44mph
ANSWER 2: Her return speed was 44 mph.
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CHECK:
D=R(4hrs)
D=33mph(4hrs)=132 miles
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D=R+11(3hrs)
132mi=(33mph+11mph)(3hrs)
132mi=(44mph)(3hrs)
132mi=132mi