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**Inverse Proportion X 1 2 4 8 y 80 40 20 10 Inverse Proportion**

Inverse Proportion is when one quantity increases and the other decreases. The two quantities are said to be INVERSELY Proportional or (INDIRECTLY Proportional) to each other. Example : Fill in the following table given x and y are inversely proportional. y x X 1 2 4 8 y 80 40 20 10

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**More people Less people Number of people 4 2 1 Time in days. 2 4 8**

It takes one person 8 days to complete a job. How many days will it take 2 people? 4 people? Why do you know this? More people Less people Number of people 4 2 1 Time in days. 2 4 8 More Time Less Time

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**3 8 4 24 ÷ 4 = 6 hours Men Hours y 1 3 x 8 = 24 hours x**

Example : If it takes 3 men 8 hours to build a wall. How long will it take 4 men. (Less time !!) Men Hours 3 8 y x 1 3 x 8 = 24 hours 4 24 ÷ 4 = 6 hours

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**Example : It takes 10 men 12 months to build a house.**

How long should it take 15 men. Men Months y x 10 12 1 12 x 10 = 120 15 120 ÷ 15 = 8 months

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**Example : At 8 m/s a journey takes 32 minutes.**

How long should it take at 10 m/s. Speed Time 8 32 mins y x 1 32 x 8 = 256 mins 10 256 ÷ 10 = 25.6 mins

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**Created by Mr. Lafferty Maths Dept.**

YOUR TURN… 0. If a school kitchen has enough food for 234 pupils for 37 days, how long will the same food last 73 pupils ? 1. If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field? 2. 12 men can dig a pond in 8 days. How many men can dig it in 6 days? 3. A hostel has enough food for 125 students for 16 days. How long will the food last if75 more students join them? 4. A fort had enough food for 80 soldiers for 60 days. How long would the food last if 20 more soldiers join after 15 days? 14-Apr-17 Created by Mr. Lafferty Maths Dept.

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By Ellie- May Hinkley. Proportion Proportion is easy to do all you need to know is your time tables. Proportion is when you have a question for example:

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