Equations practice problems - page 226 of 239
Number of problems found: 4768
- Bases
The length of the bases trapezium is in ratio 2:4. The length of the midline is 20. How long are the bases of a trapezoid? - Racer
The first racer runs at a speed 22 m/s and is 880 meters before the finish and ahead 68 meters before the second competitor. At what speed must the second racer run to catch the first racer at the finish line? - Ethnicity
The share of ethnicity XY is 46%, which is 1/6 more than in the prewar period. What was the share of that ethnicity in the prewar period? - Tram
In the three-part tram went 66 passengers in front of others, 48 after others and in the middle half. How many passengers went on the tram in total? - Brunette
The girls attending primary school are 80% blondes and 20% brunettes. 32% blondes and 68% brunette has blue eyes. How many girls attend school altogether if 490 girls have blue eyes? - TV commercials
For the typical one-hour prime-time television slot, the number of minutes of commercials is 3/8 of the actual program's minutes. Determine how many minutes of the program are shown in that one hour. - Trains
From station 130 km away started passenger train and after 2.7 hours after the express train, which travels 20 km an hour more. Express train finish journey 12 minutes early. Calculate the average speed of these two trains. - Flowerbed
On the flowerbed were planted 310 flowers - pansies and crayons during the first week, wilts quarter of pansies and an eighth crayons, which is 20% of all flowers. How many pansies were planted on the flowerbed? - Abyss
The stone fell into the abyss: 11 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 336 m/s) - The store
The store received the same number of cans of peas and corn. On the first day, we sold 10 cans of peas and 298 cans of corn, leaving 7 times more peas than corn cans. How many cans of each kind were in the store? - Three workers
Three workers, A, B, and C, must work on a specific task. Workers A and B completed the task in 19 days, B with C for 19 days, and A with C for 11 days. How long would it take to complete the task for everyone alone? How long would it take to complete the - Two runners
Two runners ran simultaneously towards each other from locations distant 23.1 km. The average speed of the first runner was 1/7 higher than the average speed of the second runner. How long should each run a 23.1 km, if you know they meet after 58 minutes? - Equation
Equation -2x²+bx -82 =0 has one root x1 = -8. Determine the coefficient b and the second root x2. - Machines
There are three machines in the workshop. The first treats 280 parts for 3.7 hours, the second treats 460 parts for 2.7 hours, and the third treats 550 parts for 3.6 hours. How long will it take to make 2440 parts if all three machines are worked simultan - Rectangle - sides
A rectangle has an area 340 cm². The length of the shorter side is 3 cm fewer than the length of the longer side. What is the perimeter of a rectangle? - Pedestrian
A pedestrian came started at 7h in the morning with a speed of 3.2 km/h. At half-past eleven, the cyclist started at 30 km/h the same way. How long does the cyclist take to catch up with the pedestrian? - Parquet floor
Three workers laid the parquet floor for 2.301 hour. The first would do this work alone 7 hours, the second in 6 hours. For how many hours would this work for the third worker if he worked alone? - Painters
The first painter painted the fence himself for 10 hours, the second painter 2.7 hours sooner than the first, and the third painter slowest up to 21 hours. How long took them to paint the fence if they worked together? - Square
If we increase one side of the square by its one-half, then the square perimeter increases by 10 cm. What is the side of the square? - Swimming pool
The pool shape of a cuboid is 237 m³, full of water. Determine the dimensions of its bottom if the water depth is 199 cm, and one bottom dimension is 4.8 m greater than the second.
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