Time + system of equations - practice problems - page 10 of 17
Number of problems found: 326
- Two diggers
Two diggers should dig a ditch. If each of them worked one-third of the time the other digger needed, they'd dig up a 13/18 ditch together. Find the ratio of the performance of these two diggers. - Younger 7012
Lena is seven years older than Monica. If both Lena and Monica were four years younger, she would be twice as old as Monica. How old is Lena? - Two pumps
Pump A takes twice as long to fill a tank as B. Together, they take 2 hours to fill the tank. How long does each one take to fill the tank by itself? - Kilometers 6535
Two cyclists rode from Prague to Poděbrady. Determine the average speed of each of them if you know that they traveled 56 km and that the slower one lost two kilometers to the faster one every hour so that he arrived in Poděbrady 30 minutes later.
- Pedestrian 6526
At 9 o'clock, the pedestrian climbed at an average speed of 5 km/h, and 3 hours later, a cyclist followed him at 12 km/h. Determine what time they will meet. - Together 6519
One worker makes 15 parts per hour, the other 12, and the third 10. How many hours did each work when they worked together for 15 hours? - Car driver
The car driver is in town A and is scheduled to be in town B at a specified hour. If it travels at an average speed of 50km/h, it will arrive in city B 30 minutes later. But if he travels at an average speed of 70km/h, he would arrive half an hour earlier - Triplets
Three years ago, the triplets Pavel, Petr, Luke, and their five-year-old sister Jane had been together for 25 years. How old is Jane today? - Speed of car
The car went to a city that was 240 km away. If his speed increased by 8 km/h, it would reach the finish one hour earlier. Determine its original speed.
- Distance 6460
Tomas will leave point A at a speed of 4 km/h at 9 o'clock. Ondra will meet him from point B at a speed of 3 km/h at 9.30 am. The distance between points A and B is 5.5km. What time do they meet, and how far will they be from point B? - The tourist
The tourist came started from the hostel at an average speed of 5km/h. Half an hour later, the bicyclist started along the same route at a speed of 20km/h. How many minutes will a cyclist catch up, and how many kilometers will he go? - Together 6451
Peter and Paul are 26 years old together. Four years ago, Peter was twice as old as Paul. How old is Peter? And how much for Paul? - The truck
The empty truck left the warehouse for goods at 10:00 and arrived at 11:30. At 2:00 pm, they loaded back on the same route. But it was a quarter slower than going to the warehouse. We know that on the way to the warehouse, the car traveled at a speed of 1 - Destination 6420
On the 182 km route, car A left at 9:00 a.m., car B at 9:30 a.m., and car C at 9:45 a.m. All three cars reached their destination at the same time. The average speeds of cars A and B differed by 6.5 km/h. How much did the average rates of cars A and C dif
- Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6: 5: 3. Find the length of the longest side of the triangle in cm. - Circumference 6312
The triangle has a circumference of 35 cm. The first side is four centimeters larger than the second and, at the same time, 1 cm larger than the third side. Determine the sides of the triangle. - Father 7
Father is six times older than his son. After four years, the father will only be four times older. What are their present ages? - Birthday 6092
Soňa and her aunt have a birthday, and her aunt is five times older than Soňa. When Soňa is a year younger than her aunt, her aunt will be eighty years old. How old is Sona now? - Kilometers 5972
Pavlina went on a trip on a hiking trail at an average speed of 4 km/h. Dalibor followed her an hour later and hurried at a speed of 7 km/h. How many kilometers does Dalibor cover before he catches up with Pavlina?
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