Equation + mean - practice problems - page 5 of 11
Number of problems found: 212
- Aircraft angines
The aircraft's two engines are enough to supply the fuel for five hours of operation. However, one of the engines has malfunctioned and thus consumes one-third more fuel. How long can the plane be in the air before it runs out of fuel? After an hour of ma - Water current
John swims upstream. After a while, he passes the bottle, and from that moment, he floats for 20 minutes in the same direction. He then turns around and swims back, and from the first meeting with the bottle, he sails 2 kilometers before he reaches the bo - Average monthly salary
A total of 10 teachers work at one small school in Moravia. The monthly salary of each is 21,500 CZK or 21,800 CZK or 22,500 CZK, according to their education and age. The average monthly salary for this school's teacher is 21 850 CZK. How many teachers o - Panel house
The construction company has two groups of workers. Group A has more members than B. Panel house was insulated by group A for ten days. They insulated the same block of flats together in 6 days. How many days would group B block insulate?
- Birdhouse 12941
Michal would make a birdhouse in three hours, and Richard would make it in two hours. If they work together, how many hours will it take them to complete it? How much percent more time compared to the time of working together would Michal make the booth b - Independently 12921
Factory A can fulfill the order independently in 10 days. Factory B fulfills the same order in 16 days. How many days will the order be completed if only plant B works on it for 3 days and then both plants together? - Trees avg
The worker planted 96 trees on Monday, 120 on Tuesday, and 61 on Wednesday. How many trees did he plant on Thursday if he averaged 105 trees per day? - Father and sons
Father is 27, and his sons are two and one years. In how many years will his sons sum up to half his age? - Five numbers in ratio
Five integers are in the ratio 1: 2: 3: 4: 5. Their arithmetic mean is 12. Determine the smallest of these numbers.
- AM of three numbers
The number 2010 can be written as the sum of 3 consecutive natural numbers. Determine the arithmetic mean of these numbers. - Mathematicians 11761
The top five mathematicians in the class took on the teacher's help calculating the paper's average grade. They dictated the following results: Mischa: "I came up with 3.30. " Dasha: "That's weird because it worked out precisely 3.45. " Jana: "You probabl - The escalator
I run up the escalator at a constant speed in the stairs' direction and write down the number of steps A we climbed. Then we turned around, ran it at the same constant speed in the opposite direction, and wrote down the number of steps B that I climbed. I - Between two bus stops
Wanda lives between two bus stops at three-eighths of their distance. He started the house today and found that he would have arrived at the bus stop if he had run to one or the other. The average bus speed is 60 km/h. What is the average speed of Wanda r - Positive integers
Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper?
- Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms. - Remaining 8931
The car driver plans to drive to a distance of 30 km in 0.5 hours. For twenty minutes, he follows the column at a speed of 30 km/h. What speed would he have to go in the remaining time? - Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle. - Big family
A certain number of people met at the family celebration - their average age was three times the number present. Then came my grandfather, who was 75 years old, and the average age was again three times the number present. How many people are celebrating - Bonuses
Five company employees were paid bonuses, so each successor received 550 USD less than the previous employee. How much did everyone get if a total of USD 11,000 has paid?
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