inverse proportion calculator
Step by step worksheet, indirect proportion

Solves problem in this form $x_1\times y_1=x_2\times k$

# inverse proportioncalculator

Inverse proportion calculator is a simple tool that helps you calculate the value of one missing variable. Its relation between two variables where an increase in one variable leads to a decrease in the value of another decreases, and that their product remain the same
Solves indirect or inverse proportion using the formula below

### Test

If 8 men take 5 days to build a wall, how long would it take 2 men?

### Step 1

Enter 8 into box marked "x1"

### Step 2

Enter 5 into box marked "y1"

### Step 3

Enter 2 into box marked "x2" and find the corresponding unknown

### result

Hit the check mark to confirm if a number is prime or composite number

### What is Inverse or Indirect Proportion?

Inverse or indirect proportion is a relationship between two variables where an increase in one variable leads to a decrease in the other variable, and vice versa.

### The Concept of Inverse or Indirect Proportion.

• - Inverse proportion is a relationship between two variables where an increase in one variable leads to a decrease in the other variable, and vice versa.

• - It can be represented mathematically as y = k/x, where y and x are the variables and k is a constant.

### Solving Inverse Proportion Problems Using Inverse Proportion Calculator

• - To solve inverse proportion problems, we can use the formula y = k/x.

• - Identify the variables involved and assign them as y and x.

• - Determine the constant of proportionality, k, by using the given values.

• - Substitute the values into the formula and solve for the unknown variable.

### Worked Examples Using Inverse Proportion Calculator

#### Example 1: Let's consider the relationship between the time taken to complete a task and the number of workers.

• As the number of workers increases, the time taken to complete the task decreases.

• For example, if it takes 10 workers 5 hours to complete a task, then it would take 20 workers 2.5 hours to complete the same task.

• This example demonstrates the inverse proportion between the number of workers and the time taken to complete the task.

#### Example 2:  Another example of inverse proportion is the relationship between speed and time taken to travel a certain distance.

• As the speed increases, the time taken to travel the distance decreases.

• For instance, if a car travels at a speed of 60 km/h, it would take 2 hours to cover a distance of 120 km.

• However, if the speed increases to 80 km/h, it would only take 1.5 hours to cover the same distance.

• This example illustrates the inverse proportion between speed and time taken to travel a distance.

#### Example 3: An inverse proportion problem involving the relationship between the number of workers and the time taken to complete a task.

• - If it takes 8 workers 6 hours to complete a task, how long would it take 12 workers to complete the same task?

• - Here, the number of workers (x) is inversely proportional to the time taken (y).

• - We can set up the equation as y = k/x.

• - Substitute the given values: 6 = k/8.

• - Solve for k: k = 48.

• - Now, substitute the new value of k and the given value of x into the equation: y = 48/12.

• - Simplify: y = 4.

• - Therefore, it would take 12 workers 4 hours to complete the task.

#### Example 4: If 8 men take 5 days to build a wall, how long would it take 2 men?

• Step 1: Identify the variables involved. In this case, the variables are the number of men and the number of days

• Let x be the number of days it would take for 2 men to build the wall

• Step 2:  Set up the inverse proportion equation. The product of the number of men and the number of days should remain the same

• 8 men 5 days =2 men x days

• Step 3: Solve for the missing variable

• 40 =2x

• Dividing both sides by2, we get:20 = x

• Therefore, it would take 2 men 20 days to build the wall

#### Example 5: If 6 workers can complete a project in10 days, how long would it take 9 workers to complete the same project?

• Step 1: Identify the variables involved. In this case, the variables are the number of workers and the number of days

• Let x be the number of days it would take for 9 workers to complete the project

• Step 2: Set up the inverse proportion equation

• 6 workers 10 days =9 workers x days

• Step 3: Solve for the missing variable

• 60 =9x

• Dividing both sides by9, we get: x =6.67

• So, it would take approximately 6.67 days for 9 workers to complete the project

#### Example 6: If a car travels a distance of 240 miles in4 hours, how long would it take to travel480 miles?

• Step 1: Identify the variables involved. In this case, the variables are the distance traveled and the time taken

• Let x be the time taken to travel480 miles

• Step 2: Set up the inverse proportion equation

• 240 miles 4 hours =480 miles x hours

• Step3: Solve for the missing variable

• 960 =480x

• Dividing both sides by 480, we get: x =2

In the end, it would take 2 hours to travel 480 miles

#### Example 7: If 12 workers can paint a house in 6 days, how many workers would be needed to paint the same house in 4 days?

• Step1: Identify the variables involved. In this case, the variables are the number of workers and the number of days

• Let x be the number of workers needed to paint the house in4 days

• Step 2: Set up the inverse proportion equation

• 12 workers 6 days = x workers 4 days

• Step3: Solve for the missing variable

• 72 =4x

• Dividing both sides by4, we get:x =18

Hence, 18 workers would be needed to paint the same house in 4 days.

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