Algebra word problem of speed time and distance
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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?
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SOLUTION This solution is FREE courtesy of BrainMass!
Let us consider that the family covered x km in canoe paddling and hiked for y km.
The total distance covered is 43.25km.
Therefore, x + y = 43.25 [A]
The speed of canoe paddling = 12km/h
Therefore, time taken to cover the lake = Distance/Speed = x/12
The average speed of walking = 5km/h
Therefore, time spent in walking = Distance/Speed = y/5
Total time taken to cover the entire journey = 5.5 hours
Therefore,
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