Basic operations and concepts - math word problems - page 217 of 322
Number of problems found: 6439
- Particular 11591
The particular map has a scale of 1:75000 a) The distance between the two places on the map is 42mm. What is the actual distance? b) How long would the distance show, 15.75 km on the map? - Two ports
Two ships commute along the same route between the ports of Mumraj and Zmatek. They spend negligible time in ports, turn around immediately, and continue sailing. At the same time, a blue ship departs from the port of Mumraj, and a green ship departs from - Collecting nuts
Ondra, Mathias, and Kuba are returning from collecting nuts. They have a total of 120. Mathias complains that Ondra has the most, as always. The father orders Ondra to sprinkle it on his Mathias so that the number of nuts doubles. Now Cuba is complaining - Otto and Joachim
Otto and Joachim go through the woods. After some time, Otto becomes tired and makes 15 minutes stop. Joachim, meanwhile, continues at 5 km/h. When he set off again, Otto had the first running speed of 7 km/h, but it kept only 30 sec, and 1 minute must co - Two boys
Two boys weighing 60kg and 90kg move on roller skates and are attracted to each other by a rope. One boy exerts a force of 15N. What force does the other boy exert? What accelerations will the boys gain? Do not consider friction or air resistance. - Trip kilometers
The route of the tourist trip measures 28 cm on a map with a scale of 1:50000. The average walking speed is 4km/h. How many kilometers does the trip measure? How many hours will the students spend on the trip? - Tourist
A tourist walked an average speed of 3.5 km/h route in 6 hours. Calculate how many hours he would have passed at an average speed of 5.5 km/h. - Car overtaking
A passenger car travels at a speed of 30 m/s; before it travels, a freight truck drives at a constant speed of 10 m/s. Within 30 meters of the truck, the driver of the car finds out that the truck can not overtake. That's why it starts braking with an acc - Combined interest
Combined interest: Carol has deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. The money was put into the account on 5.5.2016 and withdrawn all before Christmas on 20.12.2016. How much money did she withdraw? - Dog
The man went with a dog on a long walk 15 km from the house. The man is walking at a speed of 4 km/h. A dog constantly runs between the house and the man at 15.2 km/h. How many kilometers will the dog run when they reach its destination? - Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously. - Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area. - Regular 3241
The tourist started with a regular step on the road at a speed of 80 steps per minute. After going through 100 steps, his son came to see him and wanted to catch up with him. The son took regular steps as long as his father and moved at 120 steps per minu - Interest 65474
Uncle Vendelín paid 350 euros for a new washing machine, which he had to borrow 40 percent. He paid off the loan for one year - 15 euros per month. How much did he pay in interest? What was the interest rate on loan? - Construction 2798
The truck driver drives bricks for construction. If he went three times a day, he would produce the bricks needed for construction in 12 days. How many times a day does he have to go to finish work three days earlier? - Motor efficiency
Calculate the power input of a motor operating at an efficiency of 58% that will lift an elevator car (weighing 390 kg) with twenty boxes (each 25 kg) to a height of 85 m in 29 seconds. - Raffle
How many raffle tickets must be purchased by Peter in a raffle with issued 200 tickets if he wants to be sure to win at least a third price? The raffle draws 30 prices. - Consumption 6068
In two months, the Novák family consumed 624 kWh of electricity during the day and 3018 kWh at night. How much kWh of electricity will the Novák family consume now in two months at the daily rate, and how much at the night rate if they decide to reduce co - Complaints
The table is given: days; complaints 0-4; 2 5-9; 4 10-14; 8 15-19; 6 20-24; 4 25-29; 3 30-34; 3 1.1 What percentage of complaints were resolved within two weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal nu
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