Equations practice problems - page 93 of 242
Number of problems found: 4829
- Diggers
Eight diggers will do the job in 85 hours. After 21 hours, three diggers had to leave. How many hours will the work be done? - The leaves
Carl raked the leaves in the garden alone in 24 minutes, and his younger brother took 30 minutes. How long would they dig a garden if Carl digs alone for 6 minutes and his brother comes to his aid? - Solutions, mixtures
We have 2 liters of 20% solution available. How much 70% solution do we need to add to get a 30% solution? - Plant order completion
Race A can fulfill the order in 12 days, and race B can fulfill the same order in 18 days. If both plants work together, how many days will the order be fulfilled? - Pine
At the beginning of the month, the warehouse held four times more pine lumber than spruce lumber. During the month, 512 cubic metres of pine lumber and 62 cubic metres of spruce lumber were processed. At the end of the month, the same amount of both types - Dimensions of the trapezoid
One of the trapezoid bases is one-fifth larger than its height, and the second base is 1 cm larger than its height. Find the dimensions of the trapezoid if its area is 115 cm2 - Can delivery calculation
They delivered the same number of cans of stuffed cabbage leaves and leche with sausage to the store. On the first day, they sold 10 cans of cabbage leaves and 85 cans of leche. So there were six times more cans of cabbage leaves than cans of leche. How m - Magic bag
The number of tolars in the magic bag doubled each time the prince crossed the bridge. But then the devil always conjured 300 tolars for him. When this happened for the third time, the prince had twice as much as he had in the beginning. How many tolars d - Speedboat ship pursuit
The ship set sail at 6 A.M. and traveled at a speed of 16 km per hour. At 8:30 A.M., a speedboat was sent behind her, traveling 24 miles per hour. When will the boat catch up? - Bun baking calculation
Mom baked cheese and poppy seed buns. One-third of them, 26 buns, were poppy. How many buns did mom bake? - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4]. - Train delay
Due to a breakdown, the train spent 16 minutes standing on the track behind Brno. He "eliminated" this delay, so after the start, the 80 km-long section went at a speed 10 km/h higher than originally planned. What speed was it, and what was it supposed to - Sow barley
Farmers wanted to sow barley within 13 days. Due to the excellent weather, they exceeded the daily plan of sowing by 2 ha and, therefore, finished sowing grain in 12 days. How many hectares of land did they sow with barley? - Perimeter and diagonal
The perimeter of the rectangle is 82 m, and the length of its diagonal is 29 m. Find the dimensions of the rectangle. - Ratio of squares
A circle is given, and a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares? - Strawberry picking calculation
Jerry went for a one-day strawberry picking. In the morning, he collected two-fifths of the required amount; in the afternoon, he collected 5 kilograms less than in the morning, and in total, he collected three-quarters of the required amount. How many ki - Car truck pursuit
At 9:00 a.m., a truck left town A at an average speed of 50 km/h to town B, 290 km from town A. In 1 hour and 20 minutes, a car drove behind him at an average speed of 75 km/h. At what time and distance from city B will the passenger truck catch? - Worker trench time
Worker A will dig a trench in 12 days. Worker B will dig a trench in 18 days. How many days will it take them together? - Class pupil calculation
In the first and second years, there are 58 pupils in a pile. In the first and third years, there are 57 pupils. In the second and third years, there are 59 pupils. How many students are there: a) In all of them, to the dromedary, b) In individual classes - Points in space
There are n points, of which no three lie on one line and no four lies on one plane. How many planes can be guided by these points? How many planes are there if there are five times as many as the given points?
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