Equations practice problems - page 150 of 236
Number of problems found: 4717
- Train speed
The troop fired two guns from the same place at 10 minutes and 30 seconds intervals, but a person on a train approaching the place heard a second shot 10 minutes after the first. The speed of the train (in km/hr), supposing that sound travels at 340 m/s, - Mysterious number
The magician thinks of the number: "The mysterious number is first divided by minus five, dividing the result by three, multiplying the number by ten, and dividing the resulting number by minus four. The result is 5. Can you reveal the mysterious number? - Schoolchildren 6175
Of all schoolchildren, one-sixth prefers a pear for a snack, 3/4 of the rest has an apple, and the other five students like an orange for a snack. How many pupils are there? - Consecutive 6174
Find three consecutive integers whose sum is -693. - Wood harvesting
The harvested wood is bundled from the forest to a sawmill. The driver makes the journey four times a day, and the work takes him eight days. How often would he have to go daily to finish the job two days earlier? - Daughter 6165
His father is 43 years old, and his daughter is 17. How many years ago was a father three times older than a daughter? - Average age
The company of five people has an average age of 46 years. The average age of the first four is 43 years. How many years has the fifth member of this company?
- A residential
A residential colony has a population of 5400, and 60 liters of water is required per person per day. The effective utilization of rainwater constructed a water reservoir measuring 48m × 27m × 25m to collect the rainwater. For how many days is the water i - Calculate 6149
Find the area and perimeter of a square whose diagonal is 10 cm. - Equilateral triangle
Calculate the area of an equilateral triangle with a circumference of 72cm. - Calculate Calculate the length of a side of the equilateral triangle with an area of 50cm².
- Pedestrian 6146
A pedestrian met Street Math and asked him what time it was. "Add half the time to midnight to a quarter of the time, and you'll get the exact time." What time was it? - Twenty
Twenty rabbits are put in 4 cells so that there are a different number of rabbits in each cell containing at least three rabbits. What is the largest possible number of rabbits in one cell? - Dropped sheets
Three consecutive sheets dropped from the book. The sum of the numbers on the pages of the dropped sheets is 273. What number has the last page of the dropped sheets? - Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6600 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge?
- 12 apples
Twelve apples and two loaves of bread cost 5.76, and 6 apples and three loaves of bread cost 7.68. How much is a loaf of bread? - Average mark
In the 6th class, the average half-year mark in physics was 1.7. At the end of the year, Mathias improved his mark from 2 to 1, Ivana from 3 to 2, and Elena from 4 to 2. Paul worsened his mark from 3 to 4. The average mark of the whole class thus improved - Expeditions 6119
There are 99 athletes on the American team. There were 35 more athletes in the Japanese expedition than in the American one. There is an eighth less in the Czech expedition than in the Japanese expedition. How many athletes are there on individual expedit - Addition 6113 Find the natural numbers x and y such that: 1/2 = x / y and in addition that: x + y = 6
- Flying
The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable?
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