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# 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?.

## Graphical Approach to solve multi-step problems

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1. 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? T. T. Liang, Brain Maths, Vol. 2, problem 44 Graphical Approach to solve multi-step problems

2. 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?

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

4. 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.

5. 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

6. 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 75 km/hr  T 95 km/hr  T T: Time when the trains meet

7. Graphical Approach to solve multi-step problems 680 km 75 km/hr  T 95 km/hr  T

8. Graphical Approach to solve multi-step problems 680 km 75 km/hr  T 95 km/hr  T 680 km = 170 km/hr  T T = 4 hrs Trains meet 4 hrs after they depart.

9. 75 km 75 km 75 km 95 km 95 km 95 km 3 hours 3 hours Graphical Approach to solve multi-step problems 680 km 75 km/hr  T 95 km/hr  T ? Trains meet 4 hrs after they depart. What is the distance between the trains 1 hour before they meet?

10. 75 km 75 km 75 km 95 km 95 km 95 km Graphical Approach to solve multi-step problems 680 km 75 km/hr  T 95 km/hr  T ? 3 hours 170 km 3 hours What is the distance between the trains 1 hour before they meet?

11. 75 km 75 km 75 km 95 km 95 km 95 km Graphical Approach to solve multi-step problems 680 km 75 km/hr  T 95 km/hr  T 170 km What is the distance between the trains 1 hour before they meet? 170 km

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