Direct proportionality - math word problems - page 17 of 38

Number of problems found: 741

Distance time
The cyclist covered a certain distance in 9 hours. How many hours does a car need to travel four times more if it moves three times faster?
Oxygen consumption comparison
A person consumes 20 grams of oxygen in 1 hour, and a jet aircraft up to 3 total of 3/4 tons. How much more oxygen does an airplane use per hour than a human?
Donuts
Find how many donuts each student will receive if you share 126 donuts in a ratio of 1:5:8
Drawing Scale Ratio Board
I have a board measuring 3.2 m x 1.23 m, and I need to draw it in A3 format. It is 42 cm x 29.7 cm. How do I find out the ratio for drawing the board? I will also ask for the procedure.
Axial symmetry
Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are a real number)
Wheat Yield Per Hectare
The combine harvester 51.52 t of wheat from 18.4 ha. a) calculate the yield per hectare. b) What field area would the farmer have to harvest 350 tonnes at the same yield?
Silk Production from Cocoons
Beetles grown on leaves from 40 mulberry trees can produce 40 kg of cocoons yearly. 100 m of silk is produced from this amount. How much silk can be produced from cocoons grown on the leaves of 200 mulberry trees?
Exchange rates
If the Canadian dollar appreciated by C$0.005 relative to the US dollar, what would be the new value of the Canadian dollar per US dollar? Assume the current exchange rate was US$1 = C$0.907.
Composite ratio
Jakub, Aneta, and Lenka divided 1342 USD in the ratio of 5/2:3/10:1/4. How much did Lenka take?
Two masters
The two masters will make as many parts as five apprentices simultaneously. An eight-hour shift begins at 6 o'clock. When can a master finish the job to produce just as much as an apprentice for the whole shift?
Three Workers Earnings Ratio
Brigadiers Ivan, Lea, and Dano earned a total of 480 €. Ivan made a third of that money. Lea and Dano made the remaining money in a 3:1 ratio. How much € did Leo earn?
Seawater
Seawater density is 1025 kg/m³, and ice is 920 kg/m³. Eight liters of seawater froze and created a cube. Calculate the size of the cube edge.
Apples
The school kitchen bought 36 kg apples for 12 CZK/kg. How many kilograms of apples 1/4 cheaper can they buy for the same money?
Imagine
Imagine that a unit of air at a temperature of 25 °C rises a mountain range 3,000 meters high on the windward side and descends to 1,200 meters on the leeward side, assuming that the air will remain dry. What will its temperature be when it crosses the to
Air thermal
Imagine that a unit of air rises 3000 meters high. If the temperature decreases 6 degrees Celcius for every 1000 meters, what will be its temperature at 1400 meters, 2000 meters, 2500 meters, and when it reaches the 3000-meter elevation? The starting temp
Land area 2
A land area was divided among the three heirs in the ratio of 5:2:4. If the largest share was 20 hectares of land, what is the total land area? Please show your solution and what kind of proportion it is.
Proportion 2
A car can travel 210 km in 3 hours. How far can it travel in 5 hours? But what kind of proportion is this? Show your solution.
Supermarket
In a local supermarket, 3/5 kilograms of octopus cost 156.00. How much do 4 kilograms of octopus cost?
Shadow
A 1-metre pole standing vertically on level ground casts a shadow 40 cm long. A nearby house casts a shadow 6 metres long at the same time. What is the height of the house?
Bulbs and electricity
In the sports hall, 875 identical light bulbs are on for 2 hours. How long would 100 such light bulbs need to be on to consume the same amount of electricity?

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