Subscribe to our YouTube channel for the latest videos, updates, and tips.
Problems on Unitary Method Using Inverse Variation
We will learn how to solve problems on unitary method using inverse variation.
We know, if two quantities are related in such a way that increase in one quantity causes corresponding decrease in the other quantity and vice versa, then such a variation is called an inverse variation or indirect variation.
Solved problems on unitary method using inverse variation:
1. 12 typists working for 4 hours to type a book in 18 days. In how many days 4 typists will work for 8 hours to type same book?
Solution:
This is a situation of indirect variation.
12 typists working for 4 hours type a book in 18 days
1 typist working for 4 hours types a book in 18 × 12 days.
1 typist working for 1 hour types a book in 18 × 12 × 4 days.
4 typists working for 1 hour type a book in (18 × 12 × 4)/4
4 typists working for 8 hours type a book in (18 × 12 × 4)/(4 × 8) days.
Therefore, 4 typists working for 8 hours type a book in 27 days.
2. 16 men can build a wall in 56 hours.
How many men will be required to do the same work in 32 hours?
Solution:
This is a situation of inverse variation
More the number of men, the faster will they build the wall.
In 56 hours, the wall is built by 16 men.
In 1 hour, the wall is built by 16 × 56 men.
In 32 hours, the wall is built by (16 × 56)/32 men
Therefore, in 32 hours, the wall is built by 28 men.
3. If 72 workers can do a piece of work in 40 days, in how many days will 64 workers complete the same work?
Solution:
This is a situation of indirect variation.
Less workers will require more days to complete the work.
72 workers can do the work in 40 days
1 worker can do the same work in 72 × 40 days
64 workers can do the same work in (72 × 40)/64
Therefore, 64 workers can do the same work in 45 days.
Situations of Direct Variation
Situations of Inverse Variation
Direct Variations Using Unitary Method
Direct Variations Using Method of Proportion
Inverse Variation Using Unitary Method
Inverse Variation Using Method of Proportion
Problems on Unitary Method using Direct Variation
Problems on Unitary Method Using Inverse Variation
Mixed Problems Using Unitary Method
From Problems on Unitary Method Using Inverse Variation to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Worksheet on Average | Word Problem on Average | Questions on Average
May 17, 25 05:37 PM
In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family -
How to Find the Average in Math? | What Does Average Mean? |Definition
May 17, 25 04:04 PM
Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities. -
Problems Based on Average | Word Problems |Calculating Arithmetic Mean
May 17, 25 03:47 PM
Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed. -
Rounding Decimals | How to Round a Decimal? | Rounding off Decimal
May 16, 25 11:13 AM
Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate -
Worksheet on Rounding Off Number | Rounding off Number | Nearest 10
May 15, 25 05:12 PM
In worksheet on rounding off number we will solve 10 different types of problems. 1. Round off to nearest 10 each of the following numbers: (a) 14 (b) 57 (c) 61 (d) 819 (e) 7729 2. Round off to
Worksheet on Direct Variation using Unitary Method
Worksheet on Direct variation using Method of Proportion
Worksheet on Word Problems on Unitary Method
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.