Direct proportionality - math word problems - page 25 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
- Distance 3528
The direct distance between Prague - Moscow is 1680 km. How far apart are these cities on the scale map 1:4000000?
- Settlements 3517
On the map of Kosice with a scale of 1:7,000 is the distance between the housing estate NadJezera and the housing estate Tahanovce 9 cm. What is the actual air distance of these settlements?
- Calculate 3515
Calculate the actual ferry length between the measured and the new measure on the map 3 cm M 1:300,000
- Rectangular 3513
Dad wants to draw a rectangular garden on the plan for this house, which measures 23m and 20m. What will be the sides of this rectangle on the plan in scale M 1:1000?
- Small city
The length of the street is 230 m. What will its image length be on the plan at a scale of 1:2500?
- Department 3500
The city plan has a scale of 1:5 0000, which determines the actual dimensions of a department store that has a length of 18 mm and a width of 25 mm.
- Measures 3499
What is the actual length of the road, which measures 5 cm on the map, if the scale is: a / 1:500, b / 1:1,000 c / 1:1,000,000?
- Minutes 3475
A scribe with an average speed of 250 strokes per minute would write text in 16 minutes. How many minutes longer would she write the exact text at an average rate of 200 beats per minute?
- Working time
If work is done in 16 days at a 10-hour shift, how many days will it be done at 8-hour shifts?
- Tributary 3466
The swimming pool is filled with four inflow pipes in 9 hours. If one tributary is broken, how long will it be filled?
- Supply 3464
Hay stock is enough for four horses for 60 days. How long would this supply last for ten horses?
- Identical 3452
Two identical cars use 12 l of petrol to cover 150 km. How much gasoline do 25 similar cars use per 1800 km?
- Cooking on LPG
The gas bomb lasts 30 weekends for 2 hours of daily cooking. How many days will we be able to cook if we cook for 3 hours a day?
- Many 3449
I eat four cows in 5 days and 16 bags of hay. How many bags will five cows eat in 5 days?
- Chocolates 3448
If we pay 1.40 euros for two chocolates, how much will we pay for five chocolates?
- Apples 3424
57 kg of 3q red apples is dried. How many dried apples do we get from 60 kg of fresh apples?
- Accepted 3423
The material for 83 masons of the company is enough for 12 days. How many days will this supply be enough for them if the company has accepted six more masons?
- Recycled 3365
A recycled paper made from 1.5 tons of old paper is equal to that made from 10 trees. How much paper do pupils collect to save 100 trees from falling?
- Displayed 3360
Write down the scale that the displayed item has been reduced to one-third.
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