1. The car is traveling at a speed of 60 km/h. How much should you increase your speed to gain one minute for each kilometer?

2. There is 10 meters between the fox and the hare. When will the fox catch the hare if she runs at a speed of 8 m/s, and he runs at a speed of 7 m/s?

3. I walk from home to school 30 minutes, and my brother - 40 minutes. How many minutes will it take me to catch up with my brother if he left the house 5 minutes before me?

4. A passenger, traveling on a tram, noticed an acquaintance who was walking along the tram line in the opposite direction. After 10 seconds, the passenger got off the tram and went to catch up with his friend. In how many seconds will he catch up with his friend, moving twice as fast as the friend and five times slower than the tram?

5. The truck traveled some distance in 10 hours. If he traveled 10 kilometers more per hour, the same journey would take 8 hours. What is the speed of the truck?

6. Two cars simultaneously left points A and B towards each other. After 7 hours of driving, they were 136 kilometers away from each other. Find the distance between A and B if one car can cover it in 10 hours and the other in 12.

7. In 5 hours, a motorcyclist travels 259 kilometers more than a cyclist in 4 hours. In 10 hours, a cyclist travels 56 kilometers more than a motorcyclist in 2 hours. Determine the speed of the cyclist.

8Two cars left cities A and B towards each other and met 8 hours later. If the speed of the car leaving A was 14% greater, and the speed of the car leaving B was 15% greater, then the meeting would have occurred after 7 hours. Which car's speed is greater and by how many times?

9. Having crossed 3/8 of the length of the bridge, Eeyore noticed a car approaching at a speed of 60 km/h. If the donkey runs back, it will meet the car at the beginning of the bridge; if forward, the car will overtake him at the end of the bridge. How fast does Eeyore run?

10. The journey from home to school takes Adam 20 minutes. One day, on the way to school, he remembered that he had forgotten his pen at home. Adam knew that if he continued to go to school at the same speed, he would arrive there 8 minutes before the bell rang, and if he returned home to get the pen, then, moving at the same speed, he would be 10 minutes late for the start of class. How far along the route did he travel?

11. The train passes (counting from the moment when the train began to enter the bridge until the moment when it completely moved off it) a bridge 450 meters long in a minute and goes past a telegraph pole for half a minute. Find the length and speed of the train.

12. A squirrel brings a nut to the nest in 20 minutes. How far is the hazel tree from the nest if the squirrel runs lightly at a speed of 5 m/s, and with a nut - 3 m/s?

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