Inverse Variation Using Unitary Method
Now we will learn how to solve inverse variations using unitary method.
We know, the two quantities may be linked in such a way that if one increases, other decreases. If one decreases, the other increases.
Some situations of inverse variation using unitary method:
● More men at work, less time taken to finish the work.
● More speed, less time is taken to cover the same distance.
Solved examples on inverse variations using unitary method:
1. If 52 men can do a piece of work in 35 days, then 28 men will complete the same work in how many days?
Solution:
This is a situation of inverse variation, now we solve using unitary method.
52 men can do the work in 35 days.
1 man can do the work in (35 × 52) days.
28 men can do the work in days. (35 × 52)/28 days
Therefore, 28 men can do the work in 65 days.
2. In a camp there is enough food for 500 soldiers for 35 days. If 200 more soldiers join the camp, how many days will the food last?
Solution:
This is a situation of inverse variation, now we solve using unitary method.
For 500 soldiers, food lasts for 35 days.
For 1 soldier, food lasts for (35 × 500) days.
Since 200 more join. So, now the number of soldiers is (500 + 200) = 700.
For 700 soldiers, food lasts for (35 × 500)/700 days
Therefore, for 700 soldiers, food lasts for = 25 days.
3. Sara starts at 8:00 AM by bicycle to reach school. She cycles at the speed of 18 km/hour and reaches the school at 8:22 AM. By how much should she increase the speed so that she can reach the school at 8:12 AM?
Solution:
This is a situation of inverse variation, now we solve using unitary method.
In 22 minutes the same distance is covered at the speed of 18 km/hr.
In 1 minute the same distance is covered at the speed of (18 × 22) km/hr.
In 12 minutes the same distance is covered at the speed of (18 × 22)/12 km/hr.
Therefore, in 12 minutes the same distance is covered at the speed of 16 km/hr.
4. 32 workers can complete a work in 84 days. How many workers will complete the same work in 48 days?
Solution:
This is a situation of inverse variation, now we solve using unitary method.
To complete the work in 84 days, workers required = 32
To complete the work in 1 day, worker required = (32 × 84)
To complete the work in 48 days workers required = (32 × 84)/48
Therefore, to complete the work in 48 days, 56 workers are required.
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 Method7th Grade Math Problems
From Inverse Variation Using Unitary Method 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
-
5th Grade Factors and Multiples | Definitions | Solved Examples | Math
Mar 20, 25 01:02 AM
Here we will discuss how factors and multiples are related to each other in math. A factor of a number is a divisor which divides the dividend exactly. A factor of a number which is a prime number is… -
Worksheet on Roman Numerals |Roman Numerals|Symbols for Roman Numerals
Mar 20, 25 12:22 AM
Practice the worksheet on roman numerals or numbers. This sheet will encourage the students to practice about the symbols for roman numerals and their values. Write the number for the following: (a) V… -
Worksheet on 9 Times Table | Printable Multiplication Table | Video
Mar 20, 25 12:01 AM
Worksheet on 9 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home. -
Worksheet on 8 Times Table | Printable Multiplication Table | Video
Mar 18, 25 03:30 PM
Worksheet on 8 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home. -
Conversion of Roman Numeration | Roman Numerals |Hindu Arabic Numerals
Mar 18, 25 02:12 PM
We will learn the conversion of Roman numeration. First we will learn how to convert numbers in roman numerals. 1. Convert 579 in roman numerals.
Worksheet on Direct Variation using Unitary Method
Worksheet on Direct variation using Method of Proportion
Worksheet on Word Problems on Unitary Method
Worksheet on Inverse Variation Using 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.