SOLUTION: You drive 90 miles to a hiking trail, and then take a 5 mile hike. The driving time is 9x that of your walking time. The total time for driving and hiking is 3 hours, find the av

Question 327378: You drive 90 miles to a hiking trail, and then take a 5 mile hike. The driving time is 9x that of your walking time. The total time for driving and hiking is 3 hours, find the average rate of driving and the average rate of hiking.

Found 2 solutions by Fombitz, NathanC:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
Let D be the driving rate, W the walking rate,

1.
2.
.
.

3.
From eq. 1,
mph
From eq. 2,
mph
That's a pretty fast walking rate.

Answer by NathanC(1) (Show Source): You can put this solution on YOUR website!
3 = 5/x + 90/9x
LCD = 9x
Restriction: x ≠ 0

27x = 45 + 90
27x = 135
x = 5

The walking rate is 5 MPH and the driving rate is 45 MPH.
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