Equations practice problems - page 243 of 251
Number of problems found: 5001
- Bus vs. train
The bus started from point A 15 minutes before the train started from the same place. The bus went at an average speed of 45 km/h, train at 54 km/h. To point B train and bus arrived simultaneously. Calculate the train journey time if the train and bus tra - Truck
The truck went for 4 hours and 51 minutes. If the truck increases its speed by 23 km/h, it will go the same distance in 2 hours. Calculate this distance. - Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n. - Store
2.1 EUR discounted one meter of the textile. Now, 10 m of textile costs the same as 8 m. Calculate the old and new prices of 1 m of textile. - Similarity
The area of the regular 5-gon is 495 cm². The area of similar 5-gon is 606 dm². What is the coefficient of similarity? - Excavation
Mr. Vendelín calculated that excavation for a water connection digs for 10 days. His friend would take 10 days. Vendelín worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of the excavation they - Bonus
The gross wage was 1222 EUR, including the 14% bonus. How many EUR were bonuses? - Clock's hands
The clock shows 12 hours. After how many minutes will the angle be between the hour and minute hand 60°? Consider the continuous movement of both hands for hours. - Theater
Each row of the theater has 15 seats. The ticket to the first 7 rows is for 26 EUR. The next row is for 13 EUR. The theater was completely sold out. Revenue was 5850 EUR. How many rows are in the theater? - Coins
Edmund had saved a certain number of 0.5-euro coins. He placed the coins in a single layer in a square. He had 4 coins left. When he wanted to build a square with one more row, he was missing 23 coins. How many euros does he have? - Perpendicular
Find the slope of the line perpendicular to the line p: y = 8x +6. - Chase
Paul travels at 50 km/h. After the 30 km ride, he finds that he has forgotten an important book; his brother Thomas is behind him carrying it. How fast must Thomas go to catch up with Paul in 30 minute? - Cherries
Cherries in the bowl can be divided equally among 20 or 15, or 10 children. How many are the minimum cherries in the bowl? - Alcohol
How much 56% alcohol do we need to pour into 22 liters 78% alcohol to get p3% alcohol? How much 76% alcohol do we get? - Short cut
Imagine that you are going to a friend. That path has a length of 120 meter. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go directly across the field? - Rhombus
Internal angles of a rhombus are in the ratio 2:5. How many times is the shorter diagonal longer than the side of the rhombus? - n-gon
Gabriel draws an n-gon, in which angles are consecutive members of an arithmetic sequence. The smallest angle is 120° biggest 160°. How many sides have Gabriel's n-gon? - Sea water
Mixing 63 kg of seawater with 43 kg of rainwater produces water containing 2.7% salt. What percentage of salt does the seawater contain? - Trains
On a double-track line between stations, K and M went against each other two trains. The first train passed the distance between stations for 1 hours, and the second, which had an average speed of 11 km/h more, passed for 0.65 hours. Calculate the distanc - Vinegar 2
If we mix 3.5 liters of 5.8 % vinegar with 5 liters of 7.6 % vinegar, how many percentages of vinegar solution will we get?
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