Algebra - math word problems - page 277 of 312
Number of problems found: 6224
- Train from Prague
The first train from Prague started at 8:00 AM 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. - Cancer in woman population
In a particular population of women, 40% have had breast cancer, 20% are smokers, and 13% are both smokers and have had breast cancer. If a woman is selected at random, what is the probability that she has had breast cancer, smokes, or both? - Smoker male
For a person selected randomly from a certain population, events A and B are defined as follows. A = event the person is male B = event the person is a smoker. For this particular population, it is found that P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.1 - Inverted nine
In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1, 8, 7, 4,9? - Salary in enterprise
The average salary in the company is 27,000 CZK. 30% of workers have the lowest average income of 19,000 CZK. The wages in this group increased by 2%. How much did this increase the average wage across the company? - Mr. Product
The product of the ages of all of Mr. Product's children is 1,408. The youngest child's age is half the oldest child's age. How many children does Mr. Product have, and how old are they? - Comic number puzzle
Majka researched multi-digit numbers, in which odd and even numbers alternate regularly. Those who start with an odd number are called comics, and those who start with an even number are called cheerful. (For, number 32387 is comic, and number 4529 is hil - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - On the Oval Track
Two runners are training on the oval stadium track. Both runners start from the same point and maintain a steady pace. The first runner completes 3 laps in the same time that the second runner completes 2 laps. Both runners set off in the same direction a - Motion2
A cyclist left town at 24 km/h. A car set off 0.5 hours later in the same direction and caught up with the cyclist in 58 minutes. How fast did the car travel, and how far from the town did it catch the cyclist? - Grandmother currant harvest
The grandmother and granddaughter Julia harvest currants in 15 hours of work together. Julia would harvest currants for ten days after 6 hours of work a day. a) Determine in hours how long the harvest would have taken for her grandmother if Julča had not - Tea mixture package
1 kg of white tea costs CZK 1,800. 1 kg of green tea costs CZK 1,200. It determines how many grams of white and green tea will be contained in a package of Buddha's mixture if it weighs 50 g and costs CZK 65. - Three languages 2
Participants of a congress may present their contributions in English, Italian, or Spanish. Each of the 120 participants knows at least two of these languages, and 10 participants speak all three languages. English and Spanish is spoken by exactly as many - Pool filling calculation
The 300 liters per minute water starts to flow into the empty pool. We will fill the pool in 5 hours. How long would it take to fill a pool with a more powerful 750 L pump per minute? - Pie ingredient weights
The cookbook by Matthew Matemakak says: The greatest common divisor of flour weight and sugar weight is 15, the greatest common divisor of sugar weight and lemon peel weight is 6, the product of sugar weight and lemon peel weight is 1800, and the smallest - Atmospheric
Air pressure decreases with increasing altitude (at constant temperature) by approximately 1.2% per 100 m. At sea level, normal atmospheric pressure is assumed to be approximately 1,000 hPa. The altitude of Lomnický štít is approximately 2,600 metres. Wha - Journey 5
A man has to make a journey of 84 km in 3 hours. He travels the first 30 km at 20 km/hr. At what rate must he travel the remaining distance to complete his journey on time? - Cars Meeting Speed
At 10:00 AM, two cars drove against each other from places 240 km away. One was driving at an average speed of 70 km/h. What was the speed of the other when they met at 11:30? - Material transport
Two trucks were supposed to load the building materials in 10 days. After 6 days of work, the first car broke down, and the second one carried building materials for another 9 days. How many days would the first and second cars take the building materials - Forest cleanup
A group of nature conservationists (a total of 28 members) and a sports team (16 members) worked for 7 days to clean up the forest park with an area of 10 ha. How many days would conservationists have to work without the help of athletes?
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