Algebra - math word problems - page 241 of 312
Number of problems found: 6224
- Tea mixture
Of the two sorts of tea for 180 CZK/kg and 240 CZK/kg, we make a mixture of 12 kg that we should prepare for 200 CZK / kg. How many kilos of each sort of tea will we need to be mixed? - Heating Water with Coils
The smaller heating coil heats the water in 30 hours and the larger one in 20 hours. How long will it take to heat the water if both coils are switched on simultaneously, but the smaller coil breaks down after 8 hours? - Worker payment
Three workers received €2,850 for the work done. They divided them according to the time worked so that the first got 20% less than the second and the third €50 more than the second. How many euros did the second worker get? - Car meeting
From two cities, A, and B, 210 km apart, two cars left at the same time at 8:00 AM opposite each other. A truck left place A at a speed of 60 km/h, and a passenger car left place B at 80 km/h. At what time did the cars meet? - Truck overtaking
A truck with a bulky load left the factory at 8:30 a.m. at an average speed of 20 km/h. At 9 a.m., a car drove up behind him, traveling at an average speed of 60 km/h. At what time will the car catch up with the truck? - Candies
The price for 1 kg of more expensive candies is 125 CZK. The price for 1 kg of cheaper candy is 100 CZK. We mix two different mixtures of candy. A) The first mixture contains 2 kg more expensive and 0.5 kg cheaper candy. Calculate the price for 1 kg of th - Vehicle meeting
The distance between P and T is 89 km. At 8:00 AM, a lorry set off from T at a speed of 28 km/h, and at 8:45 AM, a passenger car set off against it from P at 52 km/h. When and at what distance will they compete? - 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? - Bath filling
It happens to Dorothy that when filling the bath with water, she forgets to put a plug in the drain. The bath would fill up in 20 minutes if the drain were blocked. A full tub would be emptied through the drain in 30 minutes. How long will it take Dorothy - Time for the Third Pump
A factory used two pumps to empty a tank. The first pump can empty the tank in 50 minutes, the second in 30 minutes. Both pumps were started simultaneously, but to empty the tank as quickly as possible, a third pump was also started after ten minutes. All - Prime number probability
We randomly draw one out of 18 cards with numbers from 1 to 18. What is the probability that the ticket drawn is a prime number? Write the result as a decimal number rounded to two decimal places. - Three-digit number creation
How many different three-digit numbers divisible by five can we create from the digits 2, 4, and 5? The numerals can be repeated in the created number. - Raffle
There are 200 tickets in a raffle, but only 20 are winners. What is the probability that a group of people who bought 5 tickets together wins at least 4 prizes? - Scrap
From 18 products are 5 scraps. What is the probability that the random pick of 2 products has no defective product? - Z7–I–5 MO 2018
At the Rose garden centre, one shop ordered a total of 120 roses in red and yellow, the second shop a total of 105 roses in red and white, and the third shop a total of 45 roses in yellow and white. The garden centre fulfilled the order, in such a way tha - Covid-19 spread
A Street has 13 houses in a row. Some residents in the first house tested positive for Covid-19. The virus spreads in 2 ways: It can spread to the next house or jump directly to the third house. Residents of house two can get infected in only one way, hou - Tests
To obtain a grade A, Patrick must score an average of at least 70 on five tests. If his average mark for the four tests is 68, what is the lowest mark he can get on his fifth test and still obtain a grade A - Water temperature cooling
We have 160 L of water at 67 °C; how many liters of cold water at 18 °C are needed to cool it to 39 °C? - Beetle cabbage pursuit
Theodore the beetle set off from the house towards the cabbage leaf at a 20 m/min speed. Two minutes later, Max the beetle followed him at 24 m/min speed. They both came to the cabbage leaf at the same time. How far was the cabbage leaf from their house? - Reservoir pump filling
The reservoir is filled with a large pump in 20 hours, a medium in 24 hours, and a small one in 30 hours. If all pumps are switched on simultaneously, how many hours will it be filled?
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