Equation + motion - practice problems - page 14 of 17
Number of problems found: 329
- Messenger 3117
One messenger went 7 miles every day. When he had gone 64 miles, his master sent another messenger after him, who went 9 miles daily. How many days did the second messenger catch up with the first messenger?
- 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.
- Train expres
At 8.00 express Tatry started from Bratislava to Poprad. Cities are distant, 340 kilometers. At the same time started from Poprad express Danube to Bratislava. Express Tatry's average speed is 80 km/h, Danube 90 km/h. At what distance from Poprad will tra
- Ascent and descent
Car goes 114 km track, which consists of ascent and descent at the time of 1 hour 35 minutes. When climbing, it moves at the speed of 48 km/h and downhill at 25 m/s. What is the length of the climb and descent?
- Three drivers
Three drivers driving in the same direction found that they have the same amount of gasoline. The first is enough to go 6 km, 4 km, second and third 3km. Gasoline they divided, so all three just drove to the nearest petrol station. How many km away was a
- Two-fifths 2845
David goes to school by bike and says: "If I go 300 meters further than two-fifths of the way to school, I have just walked one kilometer of the way." How far is David from home to school?
- Discovered 2830
A walker who had covered 2/3 of the planned hiking route discovered that he had lost his map. He came back for her. After overcoming 1/4 of the route he had already traveled, he found the map. He then continued in his original direction. When he had walke
- Passenger 2690
The express train set off from city A to city B at an average speed of 100 km/h. At the same time, a passenger train departed from city B to city A. The trains met after 90 minutes. Calculate the average speed of a passenger train if the distance between
- Forth and back
Car drive from point A to point B at a speed of 78 km/h and back at 82 km/h. If I went there and back at a speed of 81 km/h journey would take five minutes less. What is the distance between points A and B?
- Bob and Bobek
Bobek runs from the hat at an average speed of 12 km/h at 10:20. At what time must Bob run out at a speed of 18 km/h to catch him 9 kilometers from the hat?
- Pedestrian and the cyclist
Pedestrians and cyclists went against each from the two cities that are distant 40 km. The pedestrian started 30 minutes before the cyclist and walked at an average speed of 5 km/h. What speed went the cyclist when met after 120 minutes from the start of
- Passenger car and truck
From Kutna Hora left at 11:00 clock a truck at 60 km/h. At 12:30, behind him started the passenger car at an average speed of 80 km/h. At what time and how far from Kutna Hora overtake a passenger car truck?
- 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?
- Sebastian
Sebastian walks at 6 km/h starting at 8:00 from Kovalov in the direction of Kuty. From Kuty, the godfather is driving at 50 km/h and starts at 8:30. The distance is 24 km. When and where will grandfather take Sebastian to the car?
- Two-fifths 2589
The cycling stage rises on two-fifths of the length of the route and decreases to 2/8. The rest of the stage is flat. How many km does the stage measure if the ascent is 4 km longer than the descent?
- Bus stop
Find at what time the bus leaves from the bus stop outside the village if you know that when you leave home at 8:00 and go at a speed of 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go speed at 4 km/h, you come to the
- Simultaneously 2570
Two cyclists will set off simultaneously from one place on the circular cycling track. How long before they meet? Do you know that Karel will drive in 6 minutes and Laco in 10 minutes?
- Calculate 2482
The train left Košice at 2:45 PM to Poprad, 120 km away. At 5:45 PM, we met in Poprad with an oncoming train from Žilina, 140 km from Poprad. Calculate what time the train left Žilina if you know that it was 8 km/h faster than the train from Košice.
- Cyclist vs boat
The cyclist wants to ride a short distance by boat, but when he stops at the pier, the boat does not pick up passengers yet and is preparing to leave. The cyclist decides that the ship will catch up at the next stop. The stop is 12km far along the water a
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