# SOLUTION: A pharmacist trains by running one training segment at 8 kilometers per hour and then a second at 10 kilometers per hour. If the total running time is 3.5 hours and the total dista

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 Question 274343: A pharmacist trains by running one training segment at 8 kilometers per hour and then a second at 10 kilometers per hour. If the total running time is 3.5 hours and the total distance is 31 kilometers, how long should he run at each speed? Thank YouAnswer by ankor@dixie-net.com(15646)   (Show Source): You can put this solution on YOUR website! running one training segment at 8 kilometers per hour and then a second at 10 kilometers per hour. If the total running time is 3.5 hours and the total distance is 31 kilometers, how long should he run at each speed? : Let t = time running at 10 km/hr then (3.5 - t) = time running at 8 km/hr : Write distance equation: dist = speed * time : 8 km dist + 10 km dist = 31 km 8(3.5-t) + 10t = 31 28 - 8t + 10t = 31 2t = 31 - 28 2t = 3 t = 1.5 hr at 10 km/hr and 3.5 - 1.5 = 2 hr at 8 km/hr : : Check solution by finding the total dist 8(2) + 10(1.5) = 16 + 15 = 31