Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours. The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way. How long did it take Stu to hike the trail one way? How long is the trail? What is the total distance Stu hiked?

Answer:Time taken to travel at 3 miles = 1.875Time taken to travel at 5miles = 1.125Total distance = 11.25Step-by-step explanation:D = speed x timeTime = distance/speedTime at 3 miles per hour and 5 miles per hour T1 = d/3T2 = d/5Total time = 3 hoursT1+t2 = 3 hoursd/3 + d/5 = 3= d(1/2+1/5) = 3d(5+3/15) = 3d(8/15) = 3We cross multiply8d = 45d = 45/8= 5.625 milesTotal distance = 2d2x5.625 = 11.25 milesSince d is now knownT1 = 5.625/3 = 1.875 hours also 1 hour 52.5 minutesT2 = 5.625/5 = 1.125 hours = 1 hour 7.5 minutesTotal distance 2xd = 11.25