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## SS2: MATHEMATICS - 2ND TERM

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Lesson 9, Topic 2
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# Word Problems Leading To Simultaneous Equation

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#### Topic Content:

• Word Problems Leading To Simultaneous Equation

Below are examples of word problems that lead to simultaneous equation.

### Example 9.2.1:

A man travels x km at 60 km/hr and y km at 40 km/hr and takes $$\scriptsize 2\frac{3}{4}$$ hours for the journey.

If the time taken to travel 5x km at 40 km/hr and 3y (km) at 50 km/hr is 11 hours 42 minutes, find x and y.

Solution:

1st trip:

Time = $$\frac{Distance}{Time}$$

Total = $$\scriptsize 2\frac{3}{4}$$

⇒ $$\frac{x}{60} \: + \: \frac{y}{40} = \frac{11}{4}$$

Multiply both sides by 240

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