Equations practice problems - page 98 of 242
Number of problems found: 4829
- Internal angles
In the ABC triangle, the magnitude of the inner angle beta is one-third the magnitude of the angle alpha and 20° larger than the magnitude of the gamma angle. Determine the magnitudes of the interior angles of this triangle. - Ditch
The excavator dug 40% of the excavation in 2 hours and 20 minutes. How long does it take him to dig the whole ditch? - Book reading time
If I read a book at a rate of 15 pages a day, I will read it three days sooner than if I read it at a rate of 10 pages a day. If I read at a rate of 6 pages daily, I'll read a book. - Caramel sharing calculation
Annie and Jane shared 21 caramels, while Jane had 40% of what Annie received. How many caramels did she get? - Wheel teeth calculation
The white wheel has 24 teeth. The black wheel has fewer teeth than the white wheel. Both wheels return to their initial position for the first time after two revolutions of the white wheel. How many teeth does the black wheel have? - Viewing angle
The observer sees a straight fence 60 m long at a viewing angle of 30°. It is 102 m away from one end of the enclosure. How far is the observer from the other end of the enclosure? - The convoy
During a military exercise, the convoy left the camp at 5 hours at a speed of 40 km/h. Half an hour later, the commander sent a motorcycle clutch at a speed of 70 km/h. How long before the motorcycle clutch reaches the column? - Adam Eve meeting
1) Adam lives 4 kilometers from Eve. At the same time, he leaves for a meeting. Adam at a speed of 6 km/h and Eve at a speed of 4 km/h. How long will it take them to meet, and how many kilometers will Adam walk? 2) It was the same assignment, but Eve did - Side lengths
In the triangle ABC, the height to side a is 6 cm. The height to side b is equal to 9 cm. Side "a" is 4 cm longer than side "b". Calculate the side lengths a, b. - Workshop order completion
The plant has to complete the order in 40 working days. Production takes place in two workshops. In the first one, there are more workers; therefore, they would complete the order themselves in 70 working days. In the second workshop, they would complete - Reconstructing highway Three groups take turns reconstructing one piece of highway. The first group would finish the job themselves in 40 working days. The second group is in 24 working days, and the third group is in 30 working days. How many days do you do it together?
- The number 72
The number 72 increased by 25%. By how much % will you have to reduce the number you created to get the number 72 again? - Worker reward distribution
Three employees received a reward of CZK 5,000 for the improvement proposal. They divided the money according to work so that the first got twice as much as the second, and the second got three times as much as the third. How many crowns did each person r - Orchard tree calculation
Three-fifths of the orchard trees are apple trees. One-third are cherry trees. The remaining five trees are pear trees. How many trees are in total growth in the orchard? - The shadow
The shadow of a 1 m high pole thrown on a horizontal plane is 0.8 m long. At the same time, the shadow of a tree thrown on a horizontal plane is 6.4 m. Determine the height of the tree. - Window door replacement We ordered two parties of workers to replace the windows and doors. The first group would complete the task in 15 days. The second in ten days. How many days will they be able to exchange it together?
- Five tractors
Five tractors plow the fields in 4.8 hours. How long will it take to plow the field when, after an hour and a half of work, two tractor drivers have been called up for another task? - Meeting speed calculation
Adam and Eve live 20 km apart. They are going to a meeting. Adam moves at a speed of 2 km/h faster than Eve. They will meet in one and a half hours. Determine their speeds. - Cinema phone pursuit
Eve left the cinema at a speed of 4 km/h. Half an hour later, Adam left after her with the mobile phone that Eve had forgotten at the cinema. It was moving at a speed of 6 km/h. How long will it take Adam to catch up with Eve, and how many kilometers from - School painting time
A four-member group planned to paint the school for ten days. After two days, one member fell ill. If they worked with the same effort, how many days were the school painted?
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