Time + system of equations - practice problems - page 3 of 17
Number of problems found: 321
- Peter 70794
Peter is x years old. Juraj is 2/5 older than Peter. They are 72 years old in total. How old is Peter, and how old is Juraj? - Directions 70274
Two runners train on a circular track that is 375 m long. When they start from the same place and run in opposite directions, they meet in 30 seconds. When they run in the same direction, they are 15 m apart in 30 seconds. What is the average speed of eac - Together 70014
Matej and Anton are 44 years old together. Matej is twice as old as Anton was when Matej was half as old as Anton will be when Anton is 3 times older than Matej was when Matej was 3 times as old as Anton. - Temperature linear fit
At 2:00 a.m., the temperature was -7°F. At noon the temperature was 18°F. What expression represents the increase in temperature? - Efficiently 65484
In the first workshop, there are 3 workers; in the second workshop, 2 work equally efficiently. They worked on the order together, and for the last 2 days, only workers from the first workshop. If only the first workshop were working, the order would be c - Husband 64914
Milan, Sara's husband, is four years older and twice as old as she was 17 years ago. How old are they? - Intended 63664
Farmers had to sow 200 hectares of fields. They reduced the planned sowing time by two days while planting 5 hectares more each day than intended. How many days did the sowing last? - Increases 63204
If side b of the rectangle increases by 1 cm and the other side decreases by 4 cm at the same time, the area of the rectangle decreases by 48 cm². If side b increases by 2 cm and side ao decreases by 1 cm at the same time, the area of the rectangle increa - Father and son
A father's age is five years more than four times his son's age. In 5 years, he will be three times his son's age then. How old is the son now? - Brother age
One brother talks about his younger brother: "2 years ago, I was three times my brother's age. In 3 years, I will be twice as old as my brother." How old is each brother now? - Linear temp change
The temperature in Inuvik, Northwest Territories, increased at the same rate from -22°C at 9:00 AM to -8°C at 4:00 PM one day. What was the temperature at 2:00 PM? - Grandma
Grandma is 57 years older than her two twin granddaughters. If we add the ages of an older woman with both granddaughters, we get the number 99. How old is her old woman? - The tourist
The tourist will cross a 5 km long section in 3 hours. Part of the journey goes at a speed of 0.8 m/s and the other part at a speed of 0.4 m/s. Find the length of the first and second parts of the journey. - Train
Find the average speed of a train (in km/h) that passes a telegraph pole in 7 seconds and passes a 378 m platform in 25 seconds. How long is the train? - The satellite
The satellite orbiting the Earth at an altitude of 800 km has a speed of 7.46 km/s. How long would it have to move from the start to the orbit to reach this speed if it evenly accelerated its motion in a straight line? What is the acceleration of satellit - Lucka
Lucka reads a thrilling novel about the holidays. If she read 16 pages daily instead of 14, she would read the book one day earlier. How many pages does the novel have in total? - Maria 2
Maria is seven years older than her brother Robert, and in 2 years, her age will be four times Robert's age three years ago. Find their present ages. - Two workers
One worker makes a part 4 hours and the second 9 hours later than they would make the same part together. How long does it take for each worker to make the part himself? - Two cars
Two cars (trucks and passengers) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the - Four-times 48741
Karel's age is two-fifths the age of his older brother Michal. Two years ago, Karel was four times younger than Michal. How old is Karel now?
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