SOLUTION: Juan Carlos traveled to the town square and back. The trip there took 3 hours and the trip back took 4 hours. If he averages 32 mph on the trip back, what speed of the average on t

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Question 1047695: Juan Carlos traveled to the town square and back. The trip there took 3 hours and the trip back took 4 hours. If he averages 32 mph on the trip back, what speed of the average on the trip there?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Trip going was at a faster speed, R. Trip back was at lower speed r. Variables also shown as assigned assumed.
                    SPEED        TIME        DISTANCE

GOING                 R            x           d

RETURN                r            y           d


Basic constant travel rate rule is RT=D relating speed, time, distance.
R=unknownSpeedGoing
d=unknownDistanceOneWay
r=32
x=3
y=4

highlight_green%28Rx=ry%29------because you could simply equate two expressions for d.

ONE STEP ONLY
highlight%28R=ry%2Fx%29----------symbolic answer.

Substitute the given values and evaluate R.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Juan Carlos traveled to the town square and back. The trip there took 3 hours and the trip back took 4 hours. If he averages 32 mph on the trip back, what speed of the average on the trip there?
The return trip took 4 hours, and at a speed of 32 mph, distance = 4(32), or 132 miles
Average speed on outbound trip: highlight_green%28matrix%281%2C4%2C+132%2F3%2C+or%2C+44%2C+mph%29%29
No need to go all crazy! It's that SIMPLE! Very, very easy to figure out!