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AlgebraQuadratic Equations

Speed–Time Word Problem

A classic train problem solved live as you change the numbers.

Controls

360 km
5 km/h
1 h

Live result

Equation
1v² + 5v − 1800 = 0
Original speed
40km/h
Original time
9h
Time vs speed — t = distance / speedEquation: 1v² + 5v − 1800 = 0
increasing speed reduces the time taken
Click to start animation

Word problems become quadratic equations once you express time as distance ÷ speed.

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