Motion + system of equations - practice problems
Number of problems found: 142
- Tractor wheels
Smaller tractor wheel has a circumference of 3 meters, bigger 4 meters. On what path executes smaller wheel six turns over bigger? - 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 train
The train passed the observer in the 20s and passed through a 1500m tunnel in 2 minutes. Calculate the speed (km/h) and train length. - 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? - Cross-country race
In the charity cross-country race of three-member relays, each team had to run 36 km. Adam, Boris, and Ctirad gradually ran for team A. Boris and Ctirad ran a distance three times longer than Adam. Ctirad ran the length of 5 km longer than Boris. How many - Three-day trip
The cyclist on three-day trip travel 30% of the total route on the first day, 3/5 of the rest on the second day, and 35 km on the third day. How many kilometers did cyclists travel each day, and how many? - Playground 8308
The journey to Ed and on to the course takes 26 minutes. How long does the journey to Ed take when the trip from Ed to the playground is 4 minutes longer than the journey from the house to Ed? - 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? - Walkers
Two walkers simultaneously started against each other from places A and B. After the meeting, both continued to B. Second walker came to B 2 hours before the first walker. Its speed is 2.7 times the speed of the first pedestrian. How many hours went pedes - Passenger 64534
A passenger car drove a highway section at a constant speed. At a speed of 20 km/h higher, the ride would take 6 minutes less. At a speed of 20 km/h lower, it would take 9 minutes more. Calculate the length of the highway section. - The hiker
The hiker will travel 40% of the route on the first day 1and/3 of the rest of the second day. Last day 30 km. What was the length of the 3-day trip? How many kilometers did he walk each day? - 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. - Car
The car drove some distance in 3 hours and 20 minutes. If it increases speed by 10 km/h, it goes this distance in 2.5 hours. Calculate the distance. - Relative 67684
The boat moves along the river at a speed of v1 = 5km. h-1 and upstream v2 = 2km. h-1. What is the current P's and boat L's speed relative to the water? - Soldiers 31501
The soldiers walked 90km in 3 days. The next day, they left twice more than the first day and the third day three times more than the second day. How many km did they march on each day? - Average speed
The average speed of a good cyclist is 30 km/h. The average speed of the less able is 20 km/h. They both set off on the same route at the same time. A good cyclist drove it 2 hours earlier. How long was the route? - 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. - The car
The car traveled the distance between A and B for four hours. If we increase the average by 17 km/h, the car travels this distance an hour earlier. Determine the initial speed of the car and the distance between A and B. - Distance between two cities
The car went from A to B in 4 hours. The car was up 15 km/h faster on the way back. The return trip took 48 minutes shorter than the way there. Find the distance of cities A and B. - Cyclists
The cyclist who rides at an average speed 16 km/h travels a trip distance 10 min before the cyclist who rides at an average speed 11 km/h. What is the length of this cyclist trip(distance in km)?
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