A family makes a 43.25 km trip in 5.5 hours. On the first part ofthe trip, they

Question

A family makes a 43.25 km trip in 5.5 hours. On the first part ofthe trip, they crossed a lake in a canoe paddling at 12 km/h. Forthe rest of the trip, they hiked on a scenic trail. If theiraverage walking speed was 5 km/h, how far did theywalk?


A family makes a 43.25 km trip in 5.5 hours. On the first part ofthe trip, they crossed a lake in a canoe paddling at 12 km/h. Forthe rest of the trip, they hiked on a scenic trail. If theiraverage walking speed was 5 km/h, how far did theywalk?

Explanation / Answer

Let x be the hours for the canoe ride       y be the hours on hiking 12 x + 5 y = 43.25 x + y = 5.5 ==> x = 2.25, y = 3.25 5 x 3.25 = 16.25 km or about 10.2 miles.

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