SOLUTION: A person rides his bike to the park at 12 miles per hour then back home at 16 miles per hour. If the total trip took 7 hours how far was the park?
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Question 228500: A person rides his bike to the park at 12 miles per hour then back home at 16 miles per hour. If the total trip took 7 hours how far was the park? Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! A person rides his bike to the park at 12 miles per hour then back home at 16 miles per hour. If the total trip took 7 hours how far was the park?
Step 1. distance=speed * time.
Step 2. Let x be the amount of time it takes to get to the park.
Step 3. Let 7-x be the amount of time going home from the park since it took 7 hours total for the whole trip.
Step 4. Let 12x be the distance to the park at 12 miles per hor.
Step 5. Let 16(7-x) be the distance going back to home at 16 miles per hour.
Step 6. But the distances in Steps 4 and 5 are equal. Then, 12x=16(7-x).
Step 7. Solving yields the following steps
Add 16x to both sides to get x-terms on the left side of the equation
Divide by 28 to both sides of the equation
hours.
Step 8. Then, distance to park is 12x=48 miles. Check if same when going back home or 16(7-x)=16*3=48 miles as well.
Step 9. ANSWER; Solution is 48 miles between the park and the person's home.
I hope the above steps were helpful.
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