SOLUTION: A motorcycle breaks down and the rider must walk the rest of the way to work. The motorcycle was being driven at 45 mph, and the rider walks at a speed of 6 mph. The distance from

Question 588299: A motorcycle breaks down and the rider must walk the rest of the way to work. The motorcycle was being driven at 45 mph, and the rider walks at a speed of 6 mph. The distance from home to work is 25 mi, and the total time for the trip was 2 hours. Hpw far did the motorcycle go before it broke down? The textbook provides the answer 15 miles. I cannot figure out how they reached this answer. Can you help me?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
t = d / r ___ the total time is 2 hr and the total distance is 25 mi

2 = (x / 45) + [(25 - x) / 6]

multiplying by 90 (LCD) ___ 180 = 2x + 375 - 15x

-195 = -13x
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