Socratic Engine Test: Red Crab vs. Blue Crab

Relative motion distance graph (40 m/h & 80 m/h in opposite directions for 2 hours).

Socratic State Machine Flowchart

Active State Visited Path

root

Start: 40

ACTIVE

red_distance

Red Crab: 80 meters

Unreached

blue_distance

Blue Crab: 160 meters

Unreached

combined_speed

Combined Speed: 120 m/h

Unreached

blue_distance,red_distance

Blue Crab: 160 meters

Unreached

combined_speed,red_distance

Combined Speed: 120 m/h

Unreached

blue_distance,combined_speed

Combined Speed: 120 m/h

Unreached

blue_distance,combined_speed,red_distance

Combined Speed: 120 m/h

Unreached

success_node

Final Distance: 240 meters

UnreachedGOAL

Beach Motion Vector: Crabs Walking Away

Red Crab: 40 m/h

Blue Crab: 80 m/h (2x)

← Red Crab (0m)Start Point (0m)Blue Crab (0m) →

Start

Distance Math Breakdown

Red Speed: 40 m/h × 2h = 80m

Blue Speed: 80 m/h × 2h = 160m

Total Separation = 0m

Relative Distance #003

🦀 Beach Motion Vectors

Red Crab vs. Blue Crab Walking Distance

"A red crab and a blue crab start at the same spot on the beach and walk directly away from each other. The red crab walks at 40 meters per hour. The blue crab walks twice as fast. How far apart will they be after 2 hours?"

Red Crab: 40 m/h

Blue Crab: 80 m/h (2x)

Time: 2 Hours

Active Reasoning Path

Path Taken (1 nodes)

root

Socratic Dialogue Stream

Natural Language Math Input

Socratic Tutor Prompt

The red crab walks at 40 m/h and the blue crab walks at 80 m/h (twice as fast) in opposite directions for 2 hours. What can we calculate first?

Quick Test Steps: