# Worksheet on Inverse Variation Using Method of Proportion

Practice the questions given in the worksheet on inverse variation using method of proportion.

We know, in inverse variation if one increases, the other decreases and if one decreases, the other increases.

In inverse variation: $$\frac{a_{1}}{a_{2}} = \frac{b_{2}}{b_{1}}$$
or, $$a_{1}\times b_{1} = a_{2}\times b_{2}$$.

For example of inverse variation:

● More labours at work, less time taken to complete the work.

Less labours at work, more time taken to complete the work.

1. 8 potters can make 96 pots in 4 days. How many potters will be needed to make 108 pots in 6 days?

2. If 5 men can build a wall in 6 days. In how many days 10 men will do it?

3. There are 124 students in the hostel. Food provision for them is for 28 days. How many more students joined the hostel so that the food lasted for 16 days?

4. A car takes 5 hours to complete a journey if it moves with a speed of 90 km/hr. How long will it take when the car travels at a speed of 75 km/hr?

5. A train moves at a speed of 110 km/hr and covers a certain distance in 9.6 hours. What should be the speed of the train to cover the same distance in 8 hours?

6. 12 men can paint the wall in 8 hours. How many men will paint the wall in 6 hours?

7. If 24 horses can graze a field in 10 days. Then how many horses will graze the same field in 15 days.

Answers for the worksheet on inverse variation using method of proportion are given below to check the exact answers of the above problems.

1. 6 potters

2. 3 days

3. 93

4. 6 hours

5. 132 km/h

6. 16 men

7. 16 horses

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