System of equations + motion - practice problems - page 4 of 8
Number of problems found: 143
- Destination 7703
The glider took off from the airport at 10:00 a.m. and flew to the designated destination 102 km away at a speed of 80 km/h. Half an hour later, a motorplane took off behind him at a speed of 180 km/h. When does the motor plane catch up with the glider, a - Two cities
The car goes from city A to city B at an average speed of 70 km/h and back at an average speed of 50 km/h. If it goes to B and back at an average speed of 60 km/h, the whole ride will take 8 minutes less. What is the distance between cities A and B? - Calculate 7572
At eight in the morning, a cyclist went from city K to city L. He stayed in city L for 4.25 hours and returned home at 3:00 p.m. Calculate the distance between cities K and L if the cyclist traveled to city L at a speed of 12 km/h and from city L to city - Traveled 7541
The tourist covered 47 km in three days. The first day ran 20 percent more than the second day, and the third day was 4 km less than the second day. How many km has he traveled each day?
- Three-day 7522
Pupils walked a total of 30 km during the three-day trip. On the first day, they ran twice as much as on the third day, and on the second day, they ran 6 km more than on the third day. How many km have they traveled each day? - Two trains
Through the bridge, long l = 240m, the train passes through the constant speed at time t1 = 21s. A train running along the traffic lights at the edge of the bridge passes the same speed at t2 = 9s. a) What speed v did the train go? b) How long did a train - Calculate 7451
The car will cover a certain distance in 3 hours and 20 minutes. If he increases his speed by 10 km/h, he will cover this distance in 2.5 hours. Calculate this distance. - Water current speed.
Two cities along the river are 100 km apart. The powerboat downstream runs for 4 hours, upstream for 10 hours. Determines the river's current speed. - Two cities
The distance between cities A and B is 132 km. At 9.00 am, the cyclist started the bike at an average speed of 24 km/h, and at 10.00 am, the B cyclist at an average speed of 30 km/h. How long and far from A will they both meet?
- Determine 7314
The hiker went from A to B and back in 3 hours and 41 minutes. The road from A to B is first uphill, then flat, and finally downhill. A hiker walked up a hill at a speed of 4 km/h, on a flat surface at a speed of 5 km/h, and down a hill at a speed of 6 km - Dirty road
Mr. Smith is on a road trip to a remote disc golf course 180km away. He travels part of the way at 100km/h along the highway and part of the way at 50km/h along dirt roads. If it took 2 hours to get there, how many hours did he spend on dirt roads? - Kilometers 7161
Peter cycled 24 kilometers on the weekend, twice as many on Saturday and Sunday. How many kilometers did he go on Saturday than on Sunday? - The tourist
The tourist traveled 190km in 5 hours. Part of the journey passed at 5 km/h. The rest he went by bus at a speed of 60 km/h. How long has a bus gone? - Downstream 7002
A rowboat sailing down a river covers a distance of 120 m downstream in 12 s and upstream in 24 s. Find the magnitude of the ship's velocity relative to the water and the current in the river. Both speeds are constant.
- 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. - 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 - 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?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.