Equations practice problems - page 133 of 250
Number of problems found: 4997
- Car and motorcyclist
A car and a motorcyclist rode against each other from a distance of 190 km. The car drove 10 km/h higher than the motorcyclist and started half an hour later. It met a motorcyclist in an hour and thirty minutes. Determine their speeds. - Simplify
Simplify expression - which expression is equivalent to: 3(m + 2) − 4(2m − 9) - Isosceles triangle
In an isosceles triangle, the arm's length and the length of the base are in a ratio of 3 to 5. What is the length of the arm? - Lee is older
Lee is eight years more than twice Parker's age. Four years ago, Lee was three times as old. How old was Lee 4 years ago? - Rectangular plot
The dimensions of a rectangular plot are (x + 1) m and (2x − y) m. The sum of x and y is 3 m and the perimeter of the plot is 36 m. Find the area of the plot and the length of its diagonal. - Two Numbers Square Relation
Two numbers are guessing. The second number is five times greater than the first number, and the square of the first number is equal to 3/5 of the second number. Find the sum of the two numbers and all its divisors. - Textbook page numbering
A total of 3389 digits were needed to number all the sheets of the mathematics textbook. Assume that in a book, every leaf outside the plates is numbered. How many pages does this textbook have if it is: a) single-volume b) two-volume (with both parts hav - Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? - Cuboid Dimensions Ratio Surface
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8 m. Find: a) the surface of - Which
Which decimals, when subtracted, equal 3.89: a - b = 3.89 - Test Grades Distribution Students
No one got a grade worse than three. A third of the class got one, two-fifths two, and eight students had three. How many students had one or two? - Grandmother Mom walked out to visit her grandmother in a neighboring village 5 km away and moved at a speed of 4 km/h. An hour later, father drove down the same road at an average speed of 64 km/h. 1) How long will it take to catch Mom? 2) What is the approximate dis
- Two Typists Pages Written
The two typists wrote a total of 65 pages; although the first typed for an hour longer than the second, but typed 5 pages less; the second types 2 more pages per hour than the first. How many pages per hour does each typist write? - Stable people count
There are nurses and horses in the stable. George calculated that they have 11 heads and 36 all legs. How many people are in the stable? - Gold rods
In one kingdom, two gold rods were inherited over generations. But King Emanuel had three sons who could not agree on anything. He therefore wanted to break one rod so as to make three rods out of two. The youngest son gets the shortest rod, the oldest so - Age comparison puzzle
Five years ago, Adam was seven times more than Peter and ten years more than Peter. How old is Adam older than Peter? - Two cyclists 2
At the same time, two cyclists left towns A and B at constant speeds. The first one goes from town A to town B, and the second one from town B to town A. At one point during the trip, they met. After they met, the first cyclist arrived at town B in 36 min - Sum of four numbers
The sum of four consecutive natural numbers is 114. Find them. - Eight years ago
The son asks his father how old he is. His father said: "In ten years, I will be twice as old as I was eight years ago." - Roller Skates Speed Time
Miles goes to school on roller skates at a speed of 18 km/h. The journey takes 15 minutes. What speed does he have to go if he wants to be at school 5 minutes earlier?
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