graphical approach to solve multi-step problems t. t. liang, brain maths, vol. 2, problem 44 the...
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![Page 1: 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](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697c00d1a28abf838cc94e1/html5/thumbnails/1.jpg)
Graphical Approach to solve multi-stepproblems
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?
![Page 2: 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](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697c00d1a28abf838cc94e1/html5/thumbnails/2.jpg)
Graphical Approach to solve multi-stepproblems
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?
![Page 3: 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](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697c00d1a28abf838cc94e1/html5/thumbnails/3.jpg)
X
Y
680 km
75 km/hr
95 km/hr
Graphical Approach to solve multi-stepproblems
How far apart are the trains 1 hour before they meet?
?
![Page 4: 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](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697c00d1a28abf838cc94e1/html5/thumbnails/4.jpg)
Graphical Approach to solve multi-stepproblems
Distance: 680 kmSpeed: 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.
![Page 5: 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](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697c00d1a28abf838cc94e1/html5/thumbnails/5.jpg)
Graphical Approach to solve multi-stepproblems
Distance: 680 kmSpeed: Train leaving town X: 75 km/hr Train leaving town Y: 95 km/hr
680 km
![Page 6: 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](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697c00d1a28abf838cc94e1/html5/thumbnails/6.jpg)
Graphical Approach to solve multi-stepproblems
Distance: 680 kmSpeed: 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 T 95 km/hr T
![Page 7: 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](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697c00d1a28abf838cc94e1/html5/thumbnails/7.jpg)
Graphical Approach to solve multi-stepproblems
680 km
75 km/hr T 95 km/hr T
![Page 8: 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](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697c00d1a28abf838cc94e1/html5/thumbnails/8.jpg)
Graphical Approach to solve multi-stepproblems
680 km
75 km/hr T 95 km/hr T
680 km = 170 km/hr T
Trains meet 4 hrs after they depart.
T = 4 hrs
![Page 9: 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](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697c00d1a28abf838cc94e1/html5/thumbnails/9.jpg)
Graphical Approach to solve multi-stepproblems
680 km
75 km/hr T 95 km/hr T
Trains meet 4 hrs after they depart.
What is the distance between the trains1 hour before they meet?
?75 km 75 km 75 km 95 km95 km95 km
3 hours 3 hours
![Page 10: 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](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697c00d1a28abf838cc94e1/html5/thumbnails/10.jpg)
Graphical Approach to solve multi-stepproblems
680 km
75 km/hr T 95 km/hr T
What is the distance between the trains1 hour before they meet?
75 km 75 km 75 km 95 km95 km95 km ? 170 km3 hours 3 hours
![Page 11: 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](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697c00d1a28abf838cc94e1/html5/thumbnails/11.jpg)
Graphical Approach to solve multi-stepproblems
680 km
75 km/hr T 95 km/hr T
What is the distance between the trains1 hour before they meet?
75 km 75 km 75 km 95 km95 km95 km 170 km
170 km