SOLUTION: the hiking club went on a hike one Saturday. in the morning they walked at an average speed of 3 mi/hr; in the afternoon they averaged 2 mi/hr for 1 hr more than the number of hour

Question 939230: the hiking club went on a hike one Saturday. in the morning they walked at an average speed of 3 mi/hr; in the afternoon they averaged 2 mi/hr for 1 hr more than the number of hours they had to walk in the morning. How many hours did they have to walk in the morning if they walked a total of 22 miles?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = time walked in the morning (hours)
y = time walked in the afternoon (hours)
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y = x + 1
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s = d/t
d = st
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distance in the morning:
a = 3x
---
distance in the afternoon:
b = 2y
b = 2(x + 1)
b = 2x + 2
---
total distance:
a + b = 22
3x + 2x + 2 = 22
5x = 20
x = 4 hours
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