Homework Answers
Let the ranch that Randy visited be x km from his campsite. He walked at a rate of 5.2km/h so that he would have walked x km in (x/5.2) hours. Further, Randy returned immediately on horseback at 7.8 km/h so that the x km ride would take (x/7.8 ) hours.
Now, since the journey from the campsite to the ranch and back took 3.5 hours, hence (x/5.2)+ (x/7.8 ) = 3.5 or, (5x/15.6 ) = 3.5 or, 5x = 3.5 * 15.6 = 54.6. Hence x = 54.6/5 = 10.92 km.
Thus, the ranch that Randy visited is 10.92 km from his campsite.
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