Themes, topics - math word problems - page 70 of 168

Number of problems found: 3360

Hydrogen peroxide dilution
How much distilled water does a laboratory assistant have to add to 500 ml of 30 percent hydrogen peroxide to prepare a 3% gargle?
Water temperature mixing
The mother prepared half a liter of cold water for the children to drink. It mixed water at 20 °C with 400 ml of cold water at 5 °C. What was the temperature of the prepared drink?
Water temperature mixing
Honza filled 2 liters of hot water at a temperature of 90 °C from a heater into a five-liter container. What temperature must the water that the container fills have a mixture temperature of 42 °C?
Truck kinetic energy
The truck travels at a constant speed of 70 km/h. The first time it goes empty, and the second time it comes with a load. In which case is its kinetic energy smaller?
Point distance minimization
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest.
Gorilla fruit supply
At the Prague Zoo, they need to know how long the fruit will last for the gorillas. The stock in the warehouse would last the female Kamba for 25 days, the male Richard for 20 days, and the little Nura even for 40 days. How long will the supply last if ev
Running pursuit
Oldřich ran out of the house at 7.00 at 10 km/h. After 3 minutes, Jaroslav also ran at 12 km/h. A) what time did Jaroslav Oldřich finish? B) how many km did each run?
Athletic oval
On the 400 m athletic oval, two athletes started back to back from the same level. After the starting shot, they both ran away from each other simultaneously. Athlete A ran at 15 km/h, and Athlete B ran at 17 km/h. A) in how many seconds did the athletes
Boy bicycle pursuit
A boy leaves school at a speed of 1 m/s. At the moment, when he is 100m away from the school, a classmate on a bicycle comes behind him at a speed of 5m/s. How long and how far does the boy run from school? Solve by calculation and graphically.
Compressed gas
The pressure vessel contains a compressed gas at a temperature t1 = 27°C and a pressure p1 = 4 MPa. How much does its pressure change when we release half the amount of gas, and its temperature drops to t2 = 15°C?
Car deceleration
The car is traveling at a speed of 54 km/hour. The driver starts braking with an acceleration (deceleration) of 3 m/s². Specify the time in which to stop.
Suitcase weight
What was the suitcase's weight if I lifted it to a height of 150cm and did the work 0.5kJ?
Stroller pushing distance
Mom did a 5kJ job pushing the stroller. She always pushed him on the plane with a force of 50N. How far did she push the stroller?
Crane work
The crane lifted a concrete block weighing 3 tons to a height of 500 cm. What work did it do?
Shepherd
Kuba makes a deal with a shepherd to take care of his sheep. Shepherd said to Kuba that he would receive twenty gold coins and one sheep after a year of service. But Kuba resigned just after the seventh month of service. But the shepherd rewarded him and
The car
The car travels at a speed of 70 km/h. What distance will it travel in 2 hours?
Resident distance speed
Two of its inhabitants stand at one point in the land of two-dimensional beings. Suddenly, they both start running at the same moment. Resident A runs north at 5m/s, and resident B runs east at 12m/s. Calculate how fast they are moving away from each othe
Truck kinetic energy
The truck weighs 4.5 tons and is moving at a constant speed of 72 km/h. How big is his kinetic energy?
Work time
The carpenter did the work in 3 2/5 hours. What part of the work did he do in an hour?
Sequence decreasing proof
Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing.

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