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Solved problems for the chapter:

Inverse proportion

View the theory »

Proportion and percentage change

1. Proportion

1.1. Direct proportion

1.2. Inverse proportion

2. Change

2.1. Relative change

2.2. Percentage Change

2.2.1. Relationship between relative change and percentage change

3. Forum

↓ Show theory [1] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:inverse_proportion/5238/

Example 1.

If it takes eight painters three hours to complete the painting of a fence, how long will it take ten painters complete the same fence?

Example 2.

Four children shared a box of candies and each child received three candies. How many candies would each child receive if the box of candies were to be shared equally among six children?

It will take eight hours for six painters to complete the painting of an apartment, calculate how long the painting would have taken assuming four of the painters left after four hours of work.

If x is inversely proportional to y, complete the table below:

x	3	12		1
y	8		4

The desks in a classroom were arranged in four rows and there were four desks in each row. How many desks will there be in each row if it was arrange into only two rows?

43 tiles of size were required to complete the flooring a bathroom. Calculate the number of tiles of size that’ll be required to floor the same bathroom.

Marko drives to school at a speed of km / h and arrives to school in ten minutes. When he goes back home, he drives at a speed of km / h. How long does it takes him to get back home?

It takes eight cleaners four hours to complete the cleaning of a school. If after two hours of working together, two cleaners left, how long would it take them clean the school?

A large wood plank can be sawn into equal cm boards. How long would each board be if it was sawn into equal parts?

10.

It took Domen and Ziva hours together to solve a puzzle. How long would it take if another friend came to their aid provided they are working at the same rate?

11.

If it took 75 cows 14 days to completely feed on the hay in the hayloft. How many more cows are required to completely feed on the hay in just 10 days?

12.

The residents of a block of 16 apartments must contribute £ 50 each to pay for heating bills. Calculate:

How much it cost to heat the entire block?
How much each apartment have to pay if two residents move out?

13.

A sheet of paper is cut into equal smaller squares with side . How many squares do we get if we cut the sheet into larger squares with side ?.

14.

If workers make products in one hour, How many products would workers make in one hour?

15.

If bakers make cakes in a day, how many cake would one baker make in a day?

16.

Jan needed 4 hours at a constant speed of to travel a distance:

How long it take Jan to travel the same distance if he had travelled at the speed of ?
What would be his speed if he travelled the same distance in 3 hours?

17.

If ten painters painted a building in two hours, how long would it take a single painter to do the same job?

18.

Five friends took with them a supply of food that’ll sustain them for a ten-day vacation. They met five more friends with whom they had to share this food evenly with over the next few days, how many days would the food sustain all the ten friends ?

19.

If it takes cleaners days to clean a factory, how long would it take if three workers got sick after three days?

20.

Eight identical pumps fill the pool in hours. How many pumps fill the pool in hours?

21.

Which of the given ratios is an inverse ratio?