SOLUTION: A family makes a 43.25 km trip in 5.5 hours. On the first part of the trip they crossed a lake in a canoe paddling at 12 km/h. For the rest of the trip, they hiked on a scenic trai

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Question 303296: A family makes a 43.25 km trip in 5.5 hours. On the first part of the trip they crossed a lake in a canoe paddling at 12 km/h. For the rest of the trip, they hiked on a scenic trail. If their average walking speed was 5 km/h, how far did they walk?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A family makes a 43.25 km trip in 5.5 hours.
On the first part of the trip they crossed a lake in a canoe paddling at 12 km/h.
For the rest of the trip, they hiked on a scenic trail.
If their average walking speed was 5 km/h, how far did they walk?
:
let x = distance walked
then
(43.25-x) = distance paddled
:
Write a time equation: time = dist/speed
:
walk time + paddle time = 5.5 hrs
x%2F5 + %2843.25-x%29%2F12 = 5.5
Multiply by 60 to clear the denominators, results
12x + 5(43.25-x) = 60(5.5)
:
12x + 216.25 - 5x = 330
:
12x - 5x = 330 - 216.25
:
7x = 113.75
x = 113.75%2F7
x = 16.25 km walked
then
43.25 - 16.25 = 27 km paddled
:
:
Check solutions by finding the total time
16.25/5 =3.25 hrs
27/12 = 2.25 hrs
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total hrs:5.5 hrs, confirms our solutions of x = 16.25 km walked