Direct proportionality - math word problems - page 12 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
- Worker's performance
Fifteen workers paint a 180 m fence in 3 days. In how many days will nine workers paint a 360 m fence? We assume that each worker has the same, constant, and unchangeable performance.
- Hectoliters 16023
100hl of water flows out of the tank through three pipes in 8 hours. How many hectoliters of water flow through four pipes in 10 hours?
- Fast tourists
If three tourists pass the route in 5 hours, how long will the same route take six equally fast tourists?
- The bakery
The bakery baked 325 cakes from 25kg flour. How many kilograms of flour do they need to bake 195 pieces of such cakes?
- Filling 15983
Five 1800hl filling pumps in 3 hours for how long does a 4hl filling 1800hl tank?
- Dependence 15181
The pool has 12 flow holes, 3 of which are open. It fills up in 24 hours. Express the dependence of the pool's filling time on the number of open flow holes and construct a graph.
- Temperature 14773
The earth's temperature rises to a depth of about 1 °C at 33 meters. What is the approximate temperature at the bottom of a mine 1090m deep? If at a depth of 100m, the temperature is 11 °C?
- Harvesters 14703
Five combine harvesters shit in 12 days. How long does a 2-fold larger field of combine harvesters take?
- There
There is a stretched steel cable between the three columns. The height of the first column is 4 m, and the height of the second is 3.5 m. The distance between the first two columns is 2.5 m, and the distance between the second and third is 5 m. The heels
- Rectangular 13993
The plan of the fitness center is made on a scale of 1:150. The rectangular fitness center has 5cm and 6cm dimensions on the plan. How many euros will we pay to cover the fitness studio with a floating floor if we pay 12 euros for 1 m² of floating floor?
- Trio ratio
Hans, Alena, and Thomas have a total of 740 USD. Hans and Alena split in the ratio of 5:6, and Alena and Thomas in the ratio of 4:5. How much will everyone get?
- Temporary workers
Three temporary workers work in the warehouse and unload the goods in 9 hours. At what time would five temporary workers unload the same products?
- In the bakery
24 pieces of bread are baked in the bakery in 2.25 hours. How many breads are baked in the bakery in 6 hours and 45 minutes?
- Distance 13311
On what scale is the map drawn? A 25 cm long line shows the actual distance of 1250 km.
- A filter
It is a pool with a volume of 3500 liters. The filter filters at 4m cubics per hour. How many minutes would it filter the entire pool?
- Eight masons
Eight masons will plaster a wall with an area of 1440 m² in 9 days. They work 8 hours a day. How much area will plaster six masons in 4 hours?
- Connected 12261
At a voltage of 16 V between the ends of the resistor, a current of 200 mA flows through the resistor. What current will flow through the resistor when connected to 48 V?
- Measurement 12251
The measurement showed that a current of 160 mA flows through the appliance at a voltage of 4 V. What current flows through this appliance when connected to a voltage of 12 V?
- Six students
Two pupils painted the class in four hours. How long will it take for six pupils?
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