Graphical Approach to solve multi-step problems T. T. Liang, Brain Maths, Vol. 2, problem 44 The railway distance between town X and Y is 680 km. A train.

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Presentation transcript:

Graphical Approach to solve multi-step problems T. T. Liang, Brain Maths, Vol. 2, problem 44 The railway distance between town X and Y is 680 km. A train traveling at 75 km/hr leaves town X heading for town Y. At the same time, a second train traveling at 95 km/hr leaves town Y heading for town X. How far apart are the trains 1 hour before they meet?

Graphical Approach to solve multi-step problems The railway distance between town X and Y is 680 km. A train traveling at 75 km/hr leaves town X heading for town Y. At the same time, a second train traveling at 95 km/hr leaves town Y heading for town X. How far apart are the trains 1 hour before they meet?

X Y 680 km 75 km/hr 95 km/hr Graphical Approach to solve multi-step problems How far apart are the trains 1 hour before they meet? ?

Graphical Approach to solve multi-step problems Distance: 680 km Speed: Train leaving town X: 75 km/hr Train leaving town Y: 95 km/hr Determine 1) When the trains meet, 2) Where they are 1 hr before they meet.

Graphical Approach to solve multi-step problems Distance: 680 km Speed: Train leaving town X: 75 km/hr Train leaving town Y: 95 km/hr 680 km

Graphical Approach to solve multi-step problems Distance: 680 km Speed: Train leaving town X: 75 km/hr Train leaving town Y: 95 km/hr T: Time when the trains meet 680 km 75 km/hr  T95 km/hr  T

Graphical Approach to solve multi-step problems 680 km 75 km/hr  T95 km/hr  T

Graphical Approach to solve multi-step problems 680 km 75 km/hr  T95 km/hr  T 680 km = 170 km/hr  T Trains meet 4 hrs after they depart. T = 4 hrs

Graphical Approach to solve multi-step problems 680 km 75 km/hr  T95 km/hr  T Trains meet 4 hrs after they depart. What is the distance between the trains 1 hour before they meet? ? 75 km 95 km 3 hours

Graphical Approach to solve multi-step problems 680 km 75 km/hr  T95 km/hr  T What is the distance between the trains 1 hour before they meet? 75 km 95 km ? 170 km 3 hours

Graphical Approach to solve multi-step problems 680 km 75 km/hr  T95 km/hr  T What is the distance between the trains 1 hour before they meet? 75 km 95 km 170 km