Equations practice problems - page 97 of 251
Number of problems found: 5001
- Order 2
Two production lines are available to fulfil an urgent order. The original line can produce the required goods in 15 hours, while the newer line, which has not yet been started up, could have the goods ready in 10 hours. The original line can be launched - Draining a tank
A tank can be drained using two outlets. The larger outlet alone drains the tank in 8 hours, the smaller outlet alone in 10 hours. At the last drainage, both outlets should have been open, but the shut-off of the larger outlet got stuck and was only opene - Intersections 3
Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0 - Hydrogen peroxide dilution
We need a 4% solution of H2O2 (hydrogen peroxide) for the disinfection solution. We only have a 40% solution available. How much water must we add to 100 ml of the original solution to obtain the desired concentration? - Bicycle meeting calculation
Dan and Johnny live 4 km from each other. They agreed to meet on the way between the two homes. Dan went out at 2 p.m. at a speed of 5 km/h. Johnny rode towards him on a bicycle at 15 km/h. What time did they meet, and how far did John travel? - Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer? - Tree planting calculation
The tourist section planted 145 trees, 16% more than planned. What was the original plan? - Goat chicken puzzle
There were goats and chickens in the yard. The total number of heads was 15, and the total number of legs was 40. Calculate the number of hens. Every animal has all its legs. - Readers
Readers borrowed 220 books from the library during the first three days. On the second day, readers borrowed half as many books as on the first day and, at the same time, 20 fewer books than on the third day. Depending on the quantity x, express the numbe - Three workshops
One workshop can complete the task in 48 days, the second in 30 days, and the third in 20 days. In how many days would the task be completed if all workshops worked? - On a line
On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1]. - Grandma bun distribution
Grandma baked buns, which she wanted to divide fairly among her grandchildren. If she gave everyone 5 buns, she would have 2 buns left. If she gave each grandchild 6 buns, she would be missing 3 buns. How many grandchildren does grandma have? How many bun - Equation with decimals
Equation: 2.5 + x = 4.1 + 0.7 - Tractor plowing calculation
Tractor operator Formánek can plow Mr. Kafka's land in 30 hours using a plowing set with a four-blade plow. The tractor driver Divíšek, plowing with a five-blade plow, can plow Kafka's land in 24 hours. In how many hours will the two tractor drivers plow - Cyclist pedestrian pursuit Behind a pedestrian walking at an average speed of 5 km/h, a cyclist drove from the same place 3 hours later at an average speed of 20 km/h. How long will it take for a cyclist to catch up with a pedestrian?
- Toothpaste usage time
The father would use the toothpaste alone for 15 days, the mother for 12 days, and the daughter for ten days. It was used by all three for three days, then only the father and mother. How many days have they used it since the beginning of its use? - Baking cakes Anička and Ema baked cakes together. Ema baked one third more cakes than Anička. Anička kept one third of the cakes for herself, Ema kept half of the cakes she baked. The remaining 12 cakes they gave to their parents. 1) Determine how many cakes Anička an
- Candy mixture calculation
Clara mixed a mixture of candies of two types: Ham, ham candies at the price of CZK 210 per 1 kg, and Yum, Yum candies at CZK 150 per 1 kg. She mixed the candies so that the mixture of ham, ham, yum, and yum weighed 10 kg, and the price for 1 kg of the mi - Shell area cy
The cylinder's shell area is 300 cm square, and its height is 12 cm. Calculate its volume. - The cylinder
The cylinder's surface area is 300 square meters, and its height is 12 meters. Calculate its volume.
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