Algebra - math word problems - page 239 of 303
Number of problems found: 6048
- Companies 4156
Company A mows the meadow in ten hours. Company B will cut the meadow with dynamite in six hours. How many hours would these companies mow two meadows if they worked together?
- Tributaries 3243
The water reservoir is filled with one inflow in 30 hours and the other in 40 hours. Both tributaries were opened for some time, then the other tributary closed, and the reservoir filled in 5 hours. How long did the water flow in both tributaries at the s
- 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?
- Water mixing - tub
The tank has water with a volume of 300 liters and a temperature of 10 °C. Add water at a temperature of 90 °C until a temperature of 30 °C is reached. How many liters of warmer water do I need to add?
- 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?
- O'clock 2614
One pump fills the school pool in 15 hours. The school bought another pump that would fill the pool in 10 hours. What is the latest time to start filling the pool if they want to have it filled at eight o'clock in the morning and use both pumps?
- Digging companies
Company A would dig a pit for 12 days, company B for 15 days, company C for 20 days, and company D for 24 days. Work began with companies C and D, but after three days, They joined the other two companies. How long did it take to dig a pit?
- Conditional probability
Suppose a batch contains ten items, of which four are defective. Two items are drawn at random from the batch, one after the other, without replacement. What is the probability that: I) Both are defective? Ii) Is the second item defective?
- Maximilian 81372
Tadeas the beetle set off from the house towards the cabbage leaf at a 20 m/min speed. Two minutes later, the Maximilian beetle followed him at 24 m/min speed. They both came to the cabbage leaf at the same time. How far was the letter from their house?
- Hectares 68854
Tractor drivers plow "h" hectares of land per day. How many hectares of land would they have to plow per day to plow the 585 ha area three days earlier than planned? For which "h" does this problem have a positive solution?
- Alcohol 4441
How much 55% alcohol do we need to add to 2 liters of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol made?
- Most divisors
Find the number with the most divisors from the natural numbers 1 to 100.
- Two friends
Two friends met as a good man perished together for a beer. After recovering the most important topics (politics, women, football ...), one asks: - And how many children do you have? - I have three children. - And how many years have you? A friend already
- A car acceleration
A car increased its speed from 21.6 km/h to 108 km/h on a 54 meter long track. Determine its acceleration, assuming that the motion is uniformly accelerated.
- Preparing the mixture
The seller prepared 25 kg of the mixture for 264 CZK per 1 kg. The first type was 180 CZK per 1 kg and the second was 390 CZK per kg. How much of each did he need?
- The coal
The coal stock would be enough to heat a larger room for 12 weeks and a smaller one for 18 weeks. It was heated for four weeks in both rooms, then only in the smaller one. Thus, the coal stock was enough for how long?
- Master work
The master will complete the given task in 4 hours. When they're done together, how long will it take to master students entirely in three hours?
- Dwarfs
Four dwarfs would prepare firewood for Snow White in 580 minutes. After an hour and a half, they recruited friends and finished preparing the wood for 280 minutes. How many dwarfs do they recruit?
- 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?
- Water pool
A pool with a volume of 990 hl is completely filled if water flows by one tap for 8 hours and by the second tap for 6 hours. The first tap gives 10hl more than a second per hour. How many hl flows in each of them in an hour?
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