# System of equations + time - practice problems

#### Number of problems found: 164

- 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 old 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 part 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. For 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 sate - Maria 2

Maria is 7 years older than her brother Robert and in 2 years her age will be four times what Robert’s age was 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 passenger) 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 s - The painter

The painter lived to be 82 years old. In the 20th century, he lived 32 years longer than in the 19th century. In what year was he born? - Long hot dog

In Kostelec above Black Forest, they made a record-long hot dog. When slowly moved it to the square, one of the spectators decided to measure its length: the size of his footprint is 28 cm; he measured 20 feet in travel direction, counted 5 feet against t - Happy marriage

Jan and Marienka have been living in a happy marriage for several years. Jan's age is written in the same numbers as Marienka only in reverse order. Their ages differ by just a fifth of Marienka's age. Jan is older. How old is Jan and how many are Marienk - Giraffe 2

The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig. If the total lifespan of the animals is 30 years, calculate the longevity for the giraffe. - If twice

If twice the age of the daughter is added to the age of the mother, the sum is 56. but if twice the age of the mother is added to the age of the daughter, the sum is 82. find the age of the mother and daughter. - The father

The father is 3 times older than his son. 10 years ago, a father was 7 times older than his son. How old are father and son? - The family

How old is a mother if she is four times older than her daughter and 5 years ago she was even seven times older than her daughter? Today, a son is 30 years younger than a father. 7 years ago, a father was seven times older than a son. How old is a son tod - Motorbike circuit

On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds. - 14 years

Kája is 14 years old. Mom 44. How many years will mom be four times older? - The ages

The ages of the four sons make an arithmetic sequence, the sum of which is the age of the father today. In three years, the father's age will be the sum of the ages of the three eldest sons, and in the next two years and three months, the father's age wil - Father and son

When I was eight years old, my father was 30 years old. Today, my father is three times more than me. How old am I? - Journey to spa

Mr. Dvorak took his wife to the spa, and the journey took 3.5 hours. On the way back, he drove 12 km/h faster and was home in 3 hours. At what speed did he go to the spa, and at what speed did he return?

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