Nadia’s Journey Problem | Think Math Book 3 Ex 2A Q21 | Intermediate Level
Автор: Vector Victory
Загружено: 2026-03-06
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In this video, we break down Question 21 from Exercise 2A of the Think Math 8th Edition (Book 3).
This Intermediate Level problem follows Nadia’s journey as she walks and cycles a total of 74 km. I’ll show you exactly how to translate these speeds and times into a quadratic equation and solve for the total journey time
What we cover in this tutorial:
Part (i): Setting up the distance equations for walking and cycling. Watch how $(x + 2)(x - 3) + x(3x + 5) = 74$ simplifies down to the required $4x^2 + 4x - 80 = 0$.
Part (ii): Solving the quadratic equation using factorization or the quadratic formula.
Part (iii): Calculating the total time taken for the entire journey (Walking time + Cycling time).
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