Inverse proportion - practice problems
Inverse relationship, also called Inverse proportion occurs when one value increases and the other decreases. For example, more workers on a job would reduce the time to complete the task. They are inversely proportional. Two sequences of numbers are inversely proportional if corresponding elements have a constant product, also called the coefficient of proportionality.Number of problems found: 409
- Two masons
Mason A can build a wall in 30 days, while Mason B can build it in 40 days. If they build it together and receive a payment of $7,000, what is B's share? - Inverse percentages
If a is 40% of b, what percentage of a is b? - The rates
The rates of working of A and B are in the ratio 3 : 4. What is the ratio of the number of days taken by them to finish the work? - An iron rod
If 22.5 meters of a uniform iron rod weighs 85.5 kg, what will the length of 22.8 kilograms of the same rod? - A piece of work
12 men or 18 women can do a piece of work in 14 days, then how long 8 men and 16 women take to finish the work? - Three workers
A can do a work in 16 hours, and B alone in 24 hours. If A, B, and C work together and finish it in 8 hours, then C alone can finish it in how many hours? - Men at work
8 men can finish a piece of work in 40 days. If 2 more men joined with them, then how many days it will take to complete the work? - Proportional relationship 3
Which table below shows a proportional relationship? A. x ; y 3; 12 4; 16 5; 20 6; 24 7; 28 B. x ; y 3; 15 4; 20 5; 25 6; 35 7; 40 C. x ; y 3; 24 4; 32 5; 45 6; 48 7; 56 D. x ; y 3 ; 21 4; 24 5; 35 6; 42 7; 49 - The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - Marcos 2
Marcos is bringing 36 cookies to his book club, but he's not sure how many people will be there. He wants to write an equation that shows how many cookies each person will get in terms of how many people (symbol n) are there. - Wheat flour
If the cost of 1 kg of wheat flour is Tk 41 1/2, find the cost of 3 1/4 kg of wheat flour. - Glue strength
At 40 °C, it takes 3 hrs to get 125% glue strength. How long does it take to get 100% at 50 ˚C? The higher the temperature, the faster it cures the glue. - Bags
If six bags of flour have a mass of 27 kilograms, what will be the mass of 11 bags? - Checkouts
When 4 checkouts are open in a supermarket, customers wait in line for an average of 12 minutes. By how many minutes does the waiting time increase when one checkout is closed? - Painters 5
Six painters were supposed to paint 6,000 m² within the planned time. Two painters fell ill, so each of the four remaining had to paint 50 m² more per day than the original planned daily output. Calculate the original planned daily output per painter. - Map - route
A map has a scale of 1:40,000. How many centimetres will a route of 4.8 km be shown as on the map? - Horses 6
A farmer bought feed for 6 horses for 5 months. After two months, he sold 2 horses. How many months will the remaining feed last? - Six horses
How many bags of feed are needed for 6 days for six horses, if 21 bags of feed are needed for 3 days for seven horses? - Sifted sand
At a construction site, sand used in mortar is sifted through a sieve. In the process, 1/6 of the coarse material does not pass through and is discarded. Determine how many cubic metres must be brought in to obtain two cubic metres of sifted sand. - Two-kilogram bread
Farmers harvested 3,000 kg of rye from one hectare, from which they obtained 2,500 kg of flour. From 3 kg of flour, 4 kg of bread can be made. Calculate how many m² of land were needed to grow the rye required for one 2-kilogram loaf of bread.
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