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Question

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 1

Simple algebraic problems with two unknowns.

Assuming the family take x hours for the canoe ride, and spend y hours on hiking, the equations are:

12 x + 5 y = 43.25
x + y = 5.5 ==> x = 2.25, y = 3.25

Which means the hiking distance is 5 x 3.25 = 16.25 km or about 10.2 miles.