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Inverse Proportion

y. x. Inverse Proportion. 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

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Inverse Proportion

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  1. y x Inverse Proportion 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. 40 20 10

  2. 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

  3. y 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 1 3 x 8 = 24 hours 4  24 ÷ 4 = 6 hours

  4. y x Example : It takes 10 men 12 months to build a house. How long should it take 15 men. Men Months 10  12 1  12 x 10 = 120 15  120 ÷ 15 = 8 months

  5. y x Example : At 8 m/s a journey takes 32 minutes. How long should it take at 10 m/s. Speed Time 8  32 mins 1 32 x 8 = 256 mins 10  256 ÷ 10 = 25.6 mins

  6. 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?  Created by Mr. Lafferty Maths Dept.

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