# Reason + motion problems - practice problems

#### Number of problems found: 73

- Competitors 49101

Competitors drove two-fifths of the race route in 60 minutes. How long before they passed the first fifth? How long was the race? And did they still drive at the same speed? - Pedestrian 40151

The pedestrian will drive 5 km in 1 hour The car will travel 90 km in 1 hour How many times is a pedestrian slower than a car? - Two ports

Between the ports of Mumraj and Zmatek, two ships commute along the same route. They spend negligible time in ports, turn around immediately, and continue sailing. At the same time, a blue ship departs from the port of Mumraj, and a green ship departs fro - 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 - Everyday

One employee leaves with two briefcases every day and returns on the 4th day. These two briefcases won't be available till the 05th day as the departing employee leaves before the briefcases arrive back and are adequately cleaned. How many briefcases are - Candles

Before Christmas, Eva bought two cylindrical candles - red and green. Red was 1 cm longer than green. She lit a red candle on Christmas Day at 5:30 PM, lit a green candle at 7:00 PM, and left them on fire until it burned. At 9:30 PM, both candles were the - 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 wanted to walk the route 16 km at a specific time. He, therefore, came out at the necessary constant speed. However, after a 4 km walk, he fell unplanned into the lake, where he almost drowned. It took him 20 minutes to get to the shore and re - Fast tourists

If three tourists pass the route in 5 hours, how long will the same route take six equally fast tourists? - Water current

John swims upstream. After a while, he passes the bottle, and from that moment, he floats for 20 minutes in the same direction. He then turns around and swims back, and from the first meeting with the bottle, he sails 2 kilometers before he reaches the bo - 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? - 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? - Pozdechodim 11611

Mr. Pozdechodim was hit by a bus at 10.05. V10.10 drove around Jindra. The bus runs at an average speed of 60km / h, and Jindra at 80km / h. The bus still 20 km away is 1 km away. - The escalator

I run up the escalator at a constant speed in the stairs' direction and write down the number of steps A we climbed. Then we turned around, ran it at the same constant speed in the opposite direction, and wrote down the number of steps B that I climbed. I - The tourist

The tourist traveled 78km in 3 hours. Part of the journey went on foot at 6km/h, the rest of the trip by bus at 30km/h. How long did he walk? - Long bridge

Roman walked on the bridge. When he heard the whistle, he turned and saw Kamil running at the beginning of the bridge. They would meet in the middle of the bridge if he went to him. Roman rushed and did not want to waste time returning 150m. He continued - Uphill and downhill

The cyclist moves uphill at a constant speed of v1 = 10 km/h. When he reaches the top of the hill, he turns and passes the same track downhill at a speed of v2 = 40 km/h. What is the average speed of a cyclist? - 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? - 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? - 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

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