Examples of Inverse Proportion
A Parcel company has a certain number of parcels to deliver. If the company engages 36 persons, it takes 12 days. If there are only 18 people, it will take 24 days to finish the task. You see as the number of persons is the halved time taken is doubled if the company engages 72 people, will the time taken be half? Yes, it is. Let’s have a look at the table
Number of Persons | 36 | 18 | 9 | 72 | 108 |
---|---|---|---|---|---|
Time Taken | 12 | 24 | 48 | 6 | 4 |
How many persons shall a company engage if it wants to deliver the parcels within a day? This question can be answered using the inverse proportions as
Direct and Inverse Proportions
Direct and Inverse Proportions is a mathematical concept which help us understanding how quantities are dependent on each other. Let’s say if you drive faster you will reach your destination in less time, similarly if a laborer works for more hours he will earn more.
Here we see that speed and time are in opposite relation and hence are in inverse proportion while wage and working hours are in direct proportion. Direct and Inverse Proportion is a very important topic for class 8 to understand ratios and proportions.
Let’s understand in detail about Direct and Inverse Proportions definition, formula and properties.
Table of Content
- Direct and Inverse Proportions
- Direct and Inverse Proportions Definition
- Direct Proportion
- Direct Proportion Formula
- Examples of Direct Proportion
- Solved Examples on Direct Proportion
- Inverse Proportion
- Inverse Proportion Formula
- Examples of Inverse Proportion
- Difference between Direct and Inverse Proportions
- Solved Problems on Inverse Proportions