Word problems solved by forming systems of equations
Difficulty: ★★☆There are 25 vehicles in a depot: cars and trucks. A car has a 50-litre tank, and a truck has a 120-litre tank. To fill the whole fleet, 2090 litres of fuel were needed. How many cars and how many trucks are there?
Word problems solved by forming systems of equations
Difficulty: ★★☆The first system administrator services 3 more computers per hour than the second administrator. Together, in 5 hours, they serviced 55 computers. How many computers per hour does each administrator service?
Word problems solved by forming systems of equations
Difficulty: ★★☆At a port, two cranes of different capacity unload containers. The first crane unloads 5 more containers per hour than the second. In 6 hours of working together, they unloaded 270 containers. How many containers per hour does each crane unload?
Word problems solved by forming systems of equations
Difficulty: ★★☆Two teams lay fibre-optic cable. The first team lays 100 metres less per day than the second team. In 5 days of working together, they laid 4000 metres of cable. What is the daily output of each team?
Word problems solved by forming systems of equations
Difficulty: ★★☆In a laboratory, two devices operated for different lengths of time: the first for 5 hours and the second for 3 hours. Together they consumed 13 kWh of electrical energy. On another day, the first worked for 3 hours and the second for 6 hours, and the total consumption was 12 kWh. What is the power consumption of each device?
Word problems solved by forming systems of equations
Difficulty: ★★☆An automatic machine can produce two types of parts: A and B. It takes 2 minutes to make one part A and 3 minutes to make one part B. During an 8-hour shift, the machine produced 180 parts. How many parts of each type were produced?
Word problems solved by forming systems of equations
Difficulty: ★★☆At a factory, two assembly lines produce identical items. The second line assembles 3 more items per hour than the first. In 5 hours of joint work they assembled 155 items. How many items per hour does each line assemble?
Word problems solved by forming systems of equations
Difficulty: ★★☆There are 30 electric vehicles in a taxi fleet: cars and minibuses. Charging a car requires 50 kWh, and a minibus requires 120 kWh. Charging the whole fleet required 1920 kWh. How many cars and how many minibuses are there?
Word problems solved by forming systems of equations
Difficulty: ★★☆Two teams repair sections of highway. The first team repairs 50 metres less per day than the second. In 4 days of joint work they repaired 1800 metres of road. What is the daily output of each team?
Word problems solved by forming systems of equations
Difficulty: ★★☆The first paint sprayer was used for 5 hours and the second for 3 hours, consuming 270 litres of paint. On another day, the first sprayer was used for 3 hours and the second for 6 hours, consuming 330 litres. How many litres of paint per hour does each sprayer use?
Word problems solved by forming systems of equations
Difficulty: ★★☆The first machine worked for 4 hours and the second for 6 hours, producing 32 parts. The next day the first machine worked for 6 hours and the second for 2 hours, producing 34 parts. How many parts per hour does each machine produce?
Word problems solved by forming systems of equations
Difficulty: ★★☆Two types of chargers were used to charge batteries. First, the first charger was used for 2 hours and the second for 5 hours, consuming 23 kWh of energy. Then the first charger was used for 4 hours and the second for 3 hours, consuming 25 kWh. What is the power consumption of each charger?
Word problems solved by forming systems of equations
Difficulty: ★★☆The first server processed data for 7 hours and the second for 4 hours, processing 125 GB in total. Another time, the first server worked for 5 hours and the second for 8 hours, processing 115 GB in total. How many gigabytes per hour does each server process?
Word problems solved by forming systems of equations
Difficulty: ★★☆The first pump removed water for 6 minutes and the second for 2 minutes, removing 1600 litres. Another time, the first pump worked for 3 minutes and the second for 5 minutes, removing 1300 litres. How many litres per minute does each pump remove?
Word problems solved by forming systems of equations
Difficulty: ★★☆For laying a local network, 50 cable reels were purchased: some reels of 100 metres and others of 150 metres. The total cable length was 6000 metres. How many reels of each type were purchased?
Word problems solved by forming systems of equations
Difficulty: ★★☆There are 40 computers in a computer lab: some have level A graphics cards and others have level B graphics cards. A level A graphics card uses 75 W, while a level B card uses 120 W. When all computers work at the same time, the total power consumption is 3720 W. How many computers have each type of graphics card?