Themes, topics - math word problems - page 158 of 174
Number of problems found: 3477
- Sprinter
Sprinter runs the relay 4 x 400 m to the handover at a 42 km/h speed. A second runner is at the start of the handover area 20 m long and runs when it is the first sprinter at a distance of 10 m. Calculate the speed at which the second runner must run to t - 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? - Tank filling
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
A bus left the village at a speed of 60 km/h. One kilometre later, Milo set off on a motorcycle with his grandmother to catch the bus. When they found the bus had already left, they tried to catch up. At the next stop, 3 km away, they caught up with the b - 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
A coffee merchant has Robusta and Arabica coffee beans. 1 kg of Robusta costs 450 CZK, and 1 kg of Arabica 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 4 - 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 - Archaeologists
Archaeologists found out that the flag of the fabled mathematical kingdom was divided into six fields, as shown in the picture. In reality the flag was tri-coloured and each field was coloured with one colour. The scientists have already discovered that o - Nine balls
Imagine you have nine identical-looking balls, one of which is heavier than the others. You have a balance scale. Describe a procedure to find the heavier ball. What is the minimum number of weighings required? - 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. - two spacecraft
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
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