Math Problem Statement

Nemo Sum walks from point A to point B and then back again, taking the exact same path in the opposite direction. Nemo always walks in one of the cardinal directions, i.e. north, south, east, or west, but not always at the same speed. For reasons known only to higher powers, Nemo always walks at 4 km/h when going North or South; going East, Nemo always walks at 3 km/h; and going West, Nemo always walks at 6 km/h.

Solution

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Math Problem Analysis

Mathematical Concepts

Speed
Distance
Time
Directional Motion

Formulas

t = d/v (Time = Distance/Speed)
Total Time for round trip: T_total = 2 * (d_N/4 + d_S/4 + d_E/3 + d_W/6)
Total Distance for round trip: D_total = 2 * (d_N + d_S + d_E + d_W)

Theorems

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Suitable Grade Level

Grades 9-12