Themes, topics - math word problems - page 19 of 168

Number of problems found: 3354

Motion on circle
The bend has a radius of r = 100 m and is inclined at an angle of 20° to the horizontal plane (= tilt angle). What is the safe (the "best") speed to go through this curve? Sketch the picture regarding NIVS, mark the forces, and calculate.
Braking 83146
A car of mass m=1t moves at a speed v0=54 km/h. What braking force must be exerted to bring the car to a stop in 10 seconds, and how far will the car travel in this time?
Skiing and sledding
Behind the pond, the cat Miki is skiing and Bobo is sledding down a 300-meter-long slope. Careful Bobo can go down the slope in one minute. How many km/h faster does Miki go down the hill than Bobo if he is down 20 seconds earlier?
Circumferences 83111
Péta composed several planar shapes from mutually congruent triangles. The circumferences of the first three are 8 cm, 11.4 cm, and 14.7 cm, respectively. Determine the perimeter of the fourth shape.
Equally 83095
John and Joseph carved the garden in 6 days. If an equally fast George joined them, how many days would it take them?
Salt solution
The 50% salt solution must be diluted with distilled water to make 20 liters of 35% solution. How many liters of original solution and how many liters of water do we need?
Absolute 83086
A sound source emits a tone with an absolute pitch of 500 Hz and moves towards the observer at a speed of 5 m/s. Sound travels at a speed of 340 m/s. How fast is an observer moving who hears a tone with an absolute pitch of 522 Hz?
Penetrates 83078
A hammer with a mass of 600 g hits the head of a nail at a speed of 5 m/s. If the nail penetrates 3 cm into the wall, what is the average resistive force of the masonry?
Percentage 83077
The bank increased the interest rate from the original value of 4% to 5%. What percentage of the original value of the interest rate was its increase?
Overcoming 83076
A battering ram weighing 400 g falls from a height of 3 m. Upon impact, the stake hits a depth of 60 cm. What is the average force overcoming the soil resistance?
Warehouse 83041
At half past six in the evening, a truck left the warehouse at an average speed of 40 km/h. In 1.5 hours, a car drove behind him with an average speed of 70 km/h. How long and at what distance will the truck catch up from the warehouse?
Simultaneously 83038
The cable car can take a given group of skiers out in 20 minutes and the lift in 30 minutes. How long will the lift and cable car take this group out simultaneously?
Concerning 83022
A man with a mass of 80 kg crosses at a speed of 5 m/s through the car of a train traveling at 15 m/s. Indeed, the kinetic energy of a man: and, concerning the car b, relative to the surface of the earth, if the man is traveling in the direction of travel
Determine 83021
Determine the kinetic energy of a car with a mass of 800 kg if it travels at a speed: a) 10 m/s b) 20 m/s
Horizontal 83020
What work must be done to bring a body of mass of 2 kg lying on a smooth horizontal plane from rest to a speed of 2 m/s?
Solution 83019
Kitchen vinegar is an 8% solution of acetic acid in water. How many liters of acetic acid are needed to produce 275 liters of vinegar?
Corrects 83017
The new teacher corrects papers for 9 hours, and the older one fixes them in 6 hours. How much will they repair together?
Interpretation 83015
A cargo boat with a total weight of 4,500t sailed from the river to the sea. Calculate by how many tons it is possible to increase the weight of the cargo on the boat at sea so that the draft remains the same as in the river. The density of river water is
Textbooks 83010
At 9 a.m., a truck with textbooks left Brno at a speed of 50 km/h; at 9:30 a.m., a passenger car left Brno with another delivery of textbooks at a speed of 70 km/h. When will the passenger car catch up with the truck?
Simultaneously 83009
A passenger train will travel from Brno to Bratislava (144km) in 3 hours; a freight train will cover this distance in 4.5 hours. How long will they meet if a passenger train from Brno and a freight train from Bratislava leave simultaneously? How many kilo

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