Themes, topics - math word problems - page 144 of 160
Number of problems found: 3188
- Cork and swimming
If a person weighs 80 kg, how many kilograms of cork must take a swimming belt to float on water? The density of the human body is 1050 kg/m3, and the cork is 300 kg/m³. (Instructions: Let the human body and cork on a mixture with a density of
- Decide
The rectangle is divided into seven fields. In each box, write just one of the numbers 1, 2, or 3. Mirek argues that it can be done so that the sum of the two numbers written next to each other is always different. Zuzana (Susan) instead argues that it is
- Eight blocks
Dana had the task of saving the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be fo
- Pumps A and B
Pump A fills the tank for 12 minutes, and pump B for 24 minutes. How long will it take to fill the tank if he is only three minutes work A and then both pumps A and B?
- Minutes 2446
The water tank is filled with the first inflow in 1 hour 20 minutes, the second in 60 minutes. How many minutes will the tank be half full with both inlets if the other inlet is opened 12 minutes later?
- On the farm
On the farm, 70 heads of cattle were housed with a food supply for 180 days. After 60 days, ten heads of cattle were sold, and for the next 30 days, they sold ten more. How many days is a sufficient supply of feed for the remaining cattle?
- The dam
The water reservoir is filled with the first tributary for 25 hours and the second tributary for 35 hours. Sometimes, both inlets open, then a second tributary closed, and they filled the tank in four hours. What time does water flow from both tributaries
- Liquid soap
Liquid soap lasted two weeks for one member of the family. How many days will it last if it is used: a) two members b) 4 members c) seven members?
- Bus and Milan
The bus started from the village at a speed of 60 km/h. After one kilometer, Milan went on a motorcycle with his grandmother to the bus stop. When they found the bus had driven away, he tried to catch it. At the next stop, at a distance of 3 km, he caught
- Grass garden
Mr. Grass would mow the garden for 5 hours, and his son Michael could do it for 7 hours. They agreed to wake up at 5 AM and begin to mow together. Ms. Grass needs to drive into town at 8:30. Michael says that at that time, they're done with work. Is he ri
- Scale of the map
Determine the map's scale if the distance between A and B is 720 km and the distance on the map is 20 cm.
- Hexagon - MO
The picture shows the ABCD square, the EFGD square, and the HIJD rectangle. Points J and G lie on the side CD and are true |DJ|
- Coffee
Coffee merchant has coffee robusta and arabica species. 1 kg Robusta is worth 450 CZK, and Arabica 1 kg is 300 CZK more expensive. Calculate how many kilograms of Robusta and Arabica will need to produce 30 kg of the mixture so that the mixture costs 490
- MO 2016 Numerical axis
Cat's school uses a special numerical axis. The distance between the numbers 1 and 2 is 1 cm, the distance between the numbers 2 and 3 is 3 cm, between the numbers 3 and 4 is 5 cm, and so on, and the distance between the next pair of natural numbers is al
- Nine balls
Imagine that you have exactly the same appearance as nine balls, of which one has a greater mass than the other. You have isosceles weights. Post a procedure as you would using weights to discover heavier balls. How many measurements at least do you have
- Inclined plane
On the inclined plane with an inclination angle of 30°, we will put the body (fixed point) with mass 9 kg. Determine the acceleration of the body motion on an inclined plane.
- Circumferential 2367
Recently, two spacecraft successfully landed on two small planets labeled α and β. Both ships were equipped with sensitive sensors that measured the basic parameters of the asteroids. The sensors found that the day α took six times longer on planet α than
- Internal angles
The ABCD is an isosceles trapezoid, which holds: |AB| = 2 |BC| = 2 |CD| = 2 |DA|: On the BC side is a K point such that |BK| = 2 |KC|, on its side CD is the point L such that |CL| = 2 |LD|, and on its side DA, the point M is such that | DM | = 2 |MA|. Det
- Two workers
Two workers work together and perform the job in 12 hours. If one has done half the work and then the second worker does the next half of the work, it will take 25 hours. How long would it take to job them separately?
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