System of equations + themes, topics - practice problems - page 15 of 17
Number of problems found: 332
- Lord Ram
When lord Ram was founded, the breed of white sheep was eight more than black. White sheep are four times higher than at the beginning, and black three times more than at the beginning. White sheep is now 42 more than the black. How many white and black s - Tank 9
The tank with volume V is filled with one pump for three hours and by the second pump for 5 hours. When both pumps run simultaneously, calculate: a) how much of the total volume of the tank is filled in one hour b) for how long is the tank full - Water pool
Pool with volume 990hl completely filled, if water flows by one tap 8 hours and by second tap 6 hours. The first tap gives 10hl more than a second per hour. How many hl flows in each of them in an hour? - Water reservoir
The water reservoir is filled through one inlet 4 hours later than both together, then another inlet 9 hours later. For how long is filled by each separately?
- 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? - Tea blend
Tea blends are made from two kinds of tea. In standard tea, the mixture is two teas in the ratio of 1:3, and 40 g costs 42 CZK. In the premium tea mixture, weighing two teas in the ratio of 1:1 and 50 grams costs 60 CZK. How much cost 10 grams of a more e - 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? - Holidays
Of the 35 students in the class, were seven on holiday in Germany and just as many in Italy. Five students visited Austria. In none of these countries were 21 students. One student visited all three. In Italy and Austria were two students and in Austria a - 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 - School year
At the end of the school year, 20% of the 250 children who attended school were awarded. Award got 18% of boys and 23% of girls. Find how many boys and how many girls attend school. - Metal alloy
What is the metal ratio in the alloy in the 50 tonnes of steel to 30 kg nickel?
- Solutions
How much is the 60% solution, and how much 35% solution needed to create 100 l of the 40% solution? - James
James paints a fence. If he painted every day, instead of 14 planks, he would do 16 one day earlier. How many planks have a fence altogether? - 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. - Workhorses
A team of colleagues did the work in 20 days. After adding two colleagues from the beginning, the team completed the work in 15 days. How many members has the colleague team?
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