Themes, topics - math word problems - page 94 of 174
Number of problems found: 3474
- Worker production calculation
Two workers produce 138 parts in one shift. At the same time, the first of them produces 30% more than the second. How many components will each have? I need a notation and an equation. - Cyclist pedestrian pursuit
Cities A and B are 42 km apart. A pedestrian exits city A at a speed of 6 km/h in the opposite direction to city B. 30 minutes later, and a cyclist exits B following the pedestrian at a speed of 24 km/h. How many hours does the cyclist reach the pedestria - Water current
John is swimming upstream. After a while, he passes a floating bottle. From that moment, he continues swimming upstream for 20 minutes. He then turns around and swims downstream. From the point where he first passed the bottle, he swims 2 km before meetin - Average speed
The average speed of a pedestrian who walked 10 km was 5 km/h, and the average speed of a cyclist on the same track was 20 km/h. In how many minutes did the route take more than a cyclist? - Two accounts
Two bank accounts earn interest at 2% and 3% per year respectively. The total annual interest income is $1,900. If the interest rates were swapped between the accounts, the yield would be $200 higher. What are the amounts in each account? - Point distance marking
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. - Fiona Shrek meeting
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? - Pool filling graph
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
A log is 5 m long, weighs 95 kg, and has its center of gravity 2 m from the thicker end. The log 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 320 N. 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 triangle circle
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. - Vlado step calculation
Vlad walks at a speed of 4 km/h. Its step is 0.8 m long. How many steps will he take in 12 minutes? - Harvester field calculation
Five combine harvesters shit in 12 days. How long does a 2-fold larger field of combine harvesters take? - Snow White 2019 MO Z7
Snow White with her seven dwarfs gathered pinecones for a bonfire. Snow White said that the number of all pinecones is a number divisible by two. The first dwarf stated that it is a number divisible by three, the second dwarf said that it is a number divi
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