System of equations + motion - practice problems - page 7 of 8
Number of problems found: 147
- Truck PRG-BA
Truck driving on the highway from Prague to Bratislava at an average speed of 72 km/h. When the truck passes 54 kilometers from Prague, the passenger car departs from Prague and travels to Bratislava at a speed of 90 km/h. When and where (at what highway - 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. - Vacation
Parents are piggybacking children on vacation to their grandmother and grandfather in a city distant 150 kilometers. They agreed to meet halfway. Parents will travel at 90 km/h, grandmother and grandfather at 60 km/h. Parents depart at 12:00 hours. When d - Scouts
Three scouts went on a three-day trip. On the second day went 4 km more than the first day. The third day went two times less than the first day. They went along 54 km. How many kilometers went every day together?
- Two cars
From A town started two cars to town B. The first begins at 7:00 at an average speed of 60 km per hour. The second car starts at 10:00 at an average speed of 100 km per hour. The first car will not stay in B, and on the way back, meet the second car halfw - Blackjack TU160
Bomber Tupolev TU160 started at 9:00 from the airport and flew at an average speed of 1850 km/h toward airfield B distant 3500 km. After evaluating the danger from the airport, B started at 9:45 B towards A fighter MIG 29 at an average speed of 2300 km/h. - Tractor wheels
Smaller tractor wheel has a circumference of 3 meters, bigger 4 meters. On what path executes smaller wheel six turns over bigger? - Truck
In 7 hours, we started from the town Krnov truck at a speed of 40 km/h. Passenger car started against it in 8 hours 30 minutes from the city of Jihlava at a speed of 70 km/h. The distance between these two cities is 225 km. At what time and distance do th - Train from Prague
The first train from Prague started at 8:00 hour at 40 kilometers per hour. Train from Ostrava started at 9:20 at 80 km per hour. How many hours and how far from cities with trains meet if the distance of cities is 400 km.
- Train from Brno
The first train started from Brno at 8 AM at 60 km per hour. The second train started from Opava at 7 o'clock at the speed of 40 kilometers per hour. In how many hours and how far from cities trains meet when the distance of cities is 200 kilometers. - Journey
The road from A to B measures 11.5 km. Firstly up the hill, then by level plane and then downhill. Tourist goes uphill at 3 km/h, on the plane at 4 km/h, and downhill at 5 km/h. From the point, A to B went 2 hours 54 min back 3 hours 6 min. How long is th - Paul and Honza
Honza went to chat on a bike without a break 4.0 hours. Paul went the same way without breaks 50 minutes longer. The difference between the speeds of the two boys was one kilometer per hour. How fast was Paul if you know that the boys' speed did not chang - Tourists
The first group of tourists started from the cottage at 7:00 AM at a speed of 4 km/h. The second started after them 21 minutes later at a 6 km/h. How long and how many kilometers from the cottage will catch the first group? - Pedestrian up-down hill
Pedestrian goes for a walk first at the plane at 4 km/h, then uphill at 3 km/h. Then it is in the middle of the route, turns back, and goes downhill at 6 km/h. The total walk was 6 hours. How many kilometers went pedestrians?
- Aircrafts
Above the town, the hall tower flew the plane at a constant speed of 510 km/h, and 15 minutes later, the second plane at a speed of 703 km/h. How long and how far from the town hall will it be for aircraft to catch up? - Scouts
The boys from the scout group traveled 5 days distance of 115 km. Every day walked 1.5 km less than the previous day. How many kilometers did scouts walk on the first day? - Trains
From station 130 km away started passenger train and after 1.9 hours after the express train, which travels 27 km an hour more. Express train finish journey 5 minutes early. Calculate the average speed of these two trains. - Two runners
Two runners ran simultaneously towards each other from locations distant 21.4 km. The average speed of the first runner was 1/6 higher than the average speed of the second runner. How long should each run a 21.4 km, if you know they meet after 78 minutes? - 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
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