Equation + unit conversion - practice problems - page 3 of 8
Number of problems found: 149
- The convoy
During a military exercise, the convoy left the camp at 5 hours at a speed of 40 km/h. Half an hour later, the commander sent a motorcycle clutch at a speed of 70 km/h. How long before the motorcycle clutch reaches the column? - Calculated 23231
There are 80 screws in the box with a total weight of 1.24 kg. The weight of one screw weighs 400g. Screw weight calculated in grams - A map
A map with a scale of 1:5,000 shows a rectangular field with an area of 18 ha. The length of the field is three times its width. The area of the field on the map is 72 cm square. What is the actual length and width of the field? - Two trains
The train runs at speed v1 = 72 km/h. The passenger sitting on the train observed that a train long l = 75m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train. - Apprentice 20753
The trained worker will do the work in 4 hours. The apprentice needs 6 hours for the same work. How many hours and minutes would they do this work if they worked together? - Distance 20493
A snail emerges from the leaf at a speed of 1 cm/min. At the same time, an ant rushes towards it from the stone at a speed of 5 cm/min. The distance between the leaf and the stone is 1.2 meters. How soon will they meet, and at what distance? - Nutballs
The dough for nutballs contains, among other things, two basic raw materials: flour and nuts in a ratio of 2:1. How much is flour, and how many nuts are needed for 1 kg of dough if the "other" is 100g? - Motorcycle 17343
Karel left for the cottage at 7:00 and his parents 20 minutes later. Everyone came to the chat at the same time. Karel rode a motorcycle at a speed of 20 km/h, and his parents drove a car at 1 km per minute. How far is the cottage from where they live? Wh - Runners
If John has a running speed of 3.5miles per hour and Lucy has a speed of 5 miles per hour. If John starts running at 10:00 AM, and Lucy starts running at 10:30 AM, what time will they meet? (as soon as possible) - Pedestrian 15741
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 - 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 center of the bridge, so it does not fly - 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? - Cheetah vs antelope
When the cheetah began chasing the antelope, the distance between them was 120 meters. Although the antelope was running at 72km/h, the cheetah caught up with it in 12 seconds. What speed was the cheetah running? - The hemisphere
The hemisphere container is filled with water. What is the radius of the container when 10 liters of water pour from it when tilted 30 degrees? - Calculate 9701
In the triangle, the side length AB = 6 cm, the height per side c = 5 cm, and the angle BCA = 35°. Calculate sides a b. - Calculate 9571
At 9:00 AM, a car left Zlín in the direction of Brno, 98 km away. At 9:15 AM, a vehicle left Brno in the direction of Zlín and drove at a speed 6 km/h higher than the speed of the car traveling from Zlín. The cars met at 9:45 AM. Calculate the speeds of b - Original 9251
If the length of the square pad tent is reduced by 6 cm, its area will be reduced by 2.76 dm². Specify the side length of the original and reduced pads. - Accelerated motion - mechanics
The delivery truck, with a total weight of 3.6 t, accelerates from 76km/h to 130km/h in the 0.286 km long way. How much was the force needed to achieve this acceleration? - An investment
How long will it take for an investment to double at a simple interest rate of 5.10% per annum? Express the answer in years and months, rounded up to the next month.
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