Direct proportionality - math word problems - page 11 of 35
Two sequences of numbers are proportional if their corresponding elements have a constant ratio. Direct proportionality is the dependence of two quantities, such that the number of times one quantity increases, the other quantity increases as many times. In other words: direct proportionality is a relationship in which it applies: in what proportion one quantity changes, in that proportion the other quantity also changes.For example:
For 1 euro, I buy 10 rolls, then for 2 euros I buy 20 rolls in the same store.
A car travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality.
Number of problems found: 688
- Timetable 20313
The train ran the distance between stations at a 90km/h speed in 4 hours. What speed can it take if the journey takes an hour longer according to the new timetable?
- Staircase 20203
The staircase has 36 steps, each 20cm high. How many stairs will the same staircase have if the height of the stairs is 18cm?
- Adjustment 20163
Two students adjust the flower bed in 3 hours. How long will this adjustment take for the pupils if they invite four helpers?
- Apples 20043
From 10 kg of fresh apples, we get 1.25 kg of dried. How many kg of fresh do we need per 10 kg of dried?
- Rectangular 19823
Three hundred eighty-four tiles are used to cover the roof of 48 m². How many identical tiles are used for a rectangular roof measuring 6m and 9.5m?
- Inspectors 19633
Five inspectors will catch an average of 70 black passengers in 6 days. How many black passengers are caught by nine inspectors in 10 days?
- Minutes 19183
A worker loads sand into a car in 5 hours. How many minutes will this carload a loader 120 times faster than a worker?
- A lot of hay
Martin's grandfather weighed a lot of hay and calculated that it would last 100 days for 15 rabbits. How many days will this lot be enough for 25 rabbits?
- Snack
The teacher paid CZK 450 for a snack for 30 pupils. How many CZK will we pay for the same snack for 28 pupils?
- Bricklayers 18773
According to the standard, we calculated that two masons would plaster the corridor of the new school building in 54 hours. How long would it take for nine bricklayers to plaster this corridor?
- Consumption 18743
With the consumption of 0.4 t of coal per day, the supply lasts for 36 days. How many days will the supply be enough if 16 kg of coal is used less daily?
- Approximately 18733
Last year, Mirek's aunt dried 4.8 kg of fallen apples from 30 kilograms of fallen apples. He wants to dry the crosses from 50 kilograms of apples this year. Approximately how many kg will he gain?
- Fifteen 18403
Fifteen ants bring 10 g of food to the anthill in 1 hour. In how many hours will five ants carry 1 kg of food?
- Produced 18213
In the factory, they produced 1,500 products a week on five machines. How many machines do they need to produce 2,000 products a week?
- Circuits 17961
The area of one square is 81 cm2, and the area of the other is 225 cm². What is the ratio of their circuits?
- Individual 17891
The size of the five gardens is 13:10:9:8:7. Calculate the areas of individual gardens if you know that the middle area is 720 m².
- Together 17881
Six maids make 200 beds in 2 hours. One maid makes 50 beds alone. Then, they all continue together. How long will it take them to make the rest of the beds together?
- Milk2cheese
From 40 liters of milk, 8 kg of cheese is produced. How many liters of milk are needed to produce 2 kg of cheese?
- Flowerbed 17183
Six pupils will adjust the flower beds on the school grounds in 2 hours. In how many hours will four pupils change the same flowerbed?
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