Reason + velocity - practice problems - page 3 of 5
Number of problems found: 93
- Clock's gears
In the clock machine, three gears fit together. The largest has 168 teeth, the middle 90 teeth, and the smallest 48 teeth. The middle wheel turns around its axis in 90 seconds. How many times during the day do all the gears meet in the starting position? - Pedestrian and cyclist
A Pedestrian out with a speed of 4 km/hour from the city center and after 1 hour and 10 minutes came after him cyclist at a speed of 18 km/h. In how many minutes does he catch up with the pedestrian? - Direction 82705
A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart? - Rotaty motion
What minimum speed and frequency do we need to rotate with the water can in a vertical plane along a circle with a radius of 70 cm to prevent water from spilling? - Timetable 20313
The train ran the distance between stations at a speed of 90km/h in 4 hours. What speed can it take if, according to the new timetable, the journey takes an hour longer? - 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? - Cars speeds
The distance from city A to city B is 108 km. Two cars were simultaneously started from both places. The speed of a car coming from city A was 2 km/h higher than the second car. What was the speed of each car if they met in 54 minutes? - 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. - Distance 11711
The observer sits in a room 2 m from a 50 cm wide window. A road runs parallel at a distance of 500 m. What is the cyclist's average speed on this road when the observer sees him at 15 s? - Kilometers 7631
At 8:00, Peter set out on a hike at 5 km/h. At 9:12, Michal followed him on a bike at a speed of 20 km/h. At what time did Michal Petra run, and how many kilometers did he cover? - Different 5874
Mišo and Rišo ran back and forth on the running track. They started towards each other, each from a different end of the track. Both were still running at the same speed, each at a different speed. The first time, they met 800 m from one end of the track, - Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long - Car overtaking
A passenger car travels at a speed of 30 m/s, and before it travels freight truck that drives at a constant speed of 10 m/s. Within 30 meters of the truck, the driver of the car finds out that the truck can not overtake. That's why it starts braking with - Hiker and cyclist
At 7 PM hiker started at 6 km/h to hike. After three hrs. later started on the same trip cyclist at a speed of 15 km/h. After an hour of driving a flat tire and takes him half hour to correct the defect. At what time catch up cyclist with the hiker? - Troops
The route is long 147 km. On the first-day first regiment went at an average speed of 12 km/h and back at 21 km/h. On the second day went second regiment on the same route at an average speed of 22 km/h there and back. Which regiment will take the route l - Bus vs. train
The bus started from point A 10 minutes before the train started from the same place. The bus went at an average speed of 49 km/h, train at 77 km/h. To point B train and bus arrived simultaneously. Calculate the train journey time if the train and bus tra - Motion
If you go at speed 5.5 km/h, you come to the station 33 minutes after leaving the train. If you bike to the station at speed 29 km/h, you come to the station 52 minutes before its departure. How far is the train station? - Trains for people
It is said that the train is synonymous to delay. Calculate the average travel speed by train long 85 km, with a regular train leaving at 7:00 and arriving at 8:18, but the train is late and has a departure at 8:10 and arrives at 9:27. - Two trains meet
From A started at 7:15, express train at speed 85 km/h to B. From B started the passenger train at 8:30 in the direction to A and at a speed of 55 km/h. The distance A and B are 386 1/4 km. At what time and at what distance from B do the two trains meet? - Workers
Workers are digging a jump pit in the schoolyard. The pit has a cuboid shape with a length of 5 m, a width of 20 dm, and a depth of 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is needed to excavate this pit?
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