Themes, topics - math word problems - page 91 of 168
Number of problems found: 3346
- Distance 15203
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm. - Return 15193
Fiona sets off from the tower after Shrek at 9:10 at a speed of 6 km/h. Shrek starts to meet her from the swamp at 9:50 at a speed of 4 km/h. At 10:50, they meet and return back to the swamp at a speed of 4 km/h. What time does he arrive at the swamp? - Dependence 15181
The pool has 12 flow holes, 3 of which are open. It fills up in 24 hours. Express the dependence of the pool's filling time on the number of open flow holes and construct a graph. - Sick days
In Canada, there are typically 261 working days per year. There is a 4.9% chance of an employee taking a sick day. What is the probability an employee will use 17 OR MORE sick days in a year? - Skid friction
Find the smallest coefficient of skid friction between the car tires and the road so that the car can drive at a 200 m radius at 108 km/h and does not skid. - The bridge
A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force pushes the car onto the bridge as it passes through the center? What maximum speed can it cross over the bridge's center so it does not fly off t - Same force
The trunk is 5m long and 95 kilograms and has a center of gravity of 2m from the thicker end. The tribe is carried by two men, one at the thicker end. At what distance does the trunk carry a man from the other end to make the same force on it? - Angled cyclist turn
The cyclist passes through a curve with a radius of 20 m at 25 km/h. How much angle does it have to bend from the vertical inward to the turn? - Rotaty motion
What minimum speed and frequency do we need to rotate with the water can in a vertical plane along a circle with a radius of 70 cm to prevent water from spilling? - Newtonmeters
The driver loosened the nut on the car wheel with a wrench that held 20 cm from the axis of the bolt. He acted on the key with a force of 320N. At what moment did he act on the bolt? - Cross-country race
In the charity cross-country race of three-member relays, each team had to run 36 km. Adam, Boris, and Ctirad gradually ran for team A. Boris and Ctirad ran a distance three times longer than Adam. Ctirad ran the length of 5 km longer than Boris. How many - Equilateral 14873
There is a circle with a radius of 2.5 cm and point A, which lies on it. Write an equilateral triangle ABC in the circle. - Government 14723
Vlado moves at a speed of 4 km/h. Its step is 0.8 m long. How many steps will the government take in 12 minutes? - Harvesters 14703
Five combine harvesters shit in 12 days. How long does a 2-fold larger field of combine harvesters take? - Two trains
Two trains departed from City A and City B against each other. They met after some time. The first train took 9 hours to reach city B, and the second took 4 hours to reach city A. In what proportion were the train speeds? - Motion
The two bodies move in the same direction evenly in a straight line, at speeds of 5 cm/s and 10 cm/s. The movement of the first body started 2 seconds earlier than the movement of the second body, from a point located at a distance of 20 cm from the start - Atmosphere 14493
What allows a person to walk the Earth: a) atmosphere b) Earth response c) feet d) rolling friction - Escaping 14483
The rocket develops a higher speed, which is: a) higher velocity of escaping gases b) higher mass of escaping gases c) greater momentum of escaping gases d) shorter rocket length - A cold front
At 1:00 PM, the temperature was 46 degrees. Then, a cold front moved in and decreased the temperature by 12 degrees per hour. The temperature at 6:00 PM = _____ degrees. - Tourist 14291
If a tourist reduced his speed by 1 km/h, he would walk less than 12 km in 3 hours. If he added to the step by 1km/h, he would walk more than 25 km in 5 hours. How fast is the tourist?
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