Equations practice problems - page 130 of 240
Number of problems found: 4793
- Tributaries 7630
The polder has two tributaries. A larger inflow will fill an empty polder in 12 hours. The polder is already a quarter full. If we open both tributaries, the polder will be filled in 6 hours. How long would it take for a smaller inflow to fill an empty po
- Three-fifths 7629
The sum of the two numbers is 46. It holds that two times the first is one greater than three-fifths of the second. What are the numbers?
- Grandfather 7622
My grandfather says, "My son and I are 100 years old, my son and my grandson are 62 years old, and my grandson and I are 80 years old together." How old is your grandfather?
- Workshops
The first workshop will complete the robot itself in 15 days, and the second workshop in 10 days. They started together, but only the second workshop worked after three days. Thus, the work will take 15 days.
- Red cubes
There are 15 white and several red cubes in the box. The probability of accidentally pulling out a white cube is 20%. How many red cubes are in the box?
- Circumference 7615
The sides of the rectangle are in a ratio of 3:5. Its circumference is 48 cm. Calculate the length of its diagonal.
- Mushrooms
Grandfather gathered fresh mushrooms. The fifth was wormwood, and we threw it away. The other dried up. He obtained 720 grams of dried mushrooms. How many kilograms did the grandfather collect, and they lost 75% of their weight by drying the mushrooms?
- Two pipes
How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours long and the second pipe 9 hours longer than both pipes open simultaneously?
- There
There are two numbers on the screen - one in the blue and the other in the red box. In the beginning, both numbers are the same. With each beep, both numbers increase - by 1 in the blue field and by 3 in the red field. At one point, the number 49 appears
- Two-digit 7607
The digit sum of a two-digit number is 11. After changing the order of the digits, I get a number 27, smaller than the intended number. What number do I think?
- Swimming 7602
At the swimming pool, they use three pumps with the same output to fill the pool and fill the pool in 6 hours. How long does it take for the pool to fill nine pumps?
- Two cities
The car goes from city A to city B at an average speed of 70 km/h and back at an average speed of 50 km/h. If it goes to B and back at an average speed of 60 km/h, the whole ride will take 8 minutes less. What is the distance between cities A and B?
- Temperature 7595
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the t
- Simple equation 6
Solve the equation with one variable: X/2+X/3+X/4=X+4
- Find unknown
Find an unknown numerator: 4/8 + _/8 = 1
- Annual pension
Calculate the amount of money generating an annual pension of EUR 1000, payable at the end of the year and for a period of 10 years, which shall be inserted into the bank to account with an annual interest rate of 2%
- Quadrilateral 7583
For the sizes of the interior angles of the quadrilateral ABCD, the following applies: the angle alpha is 26° greater than the angle beta, twice the angle Beta is 5° less than the angle gamma, and the angle gamma is 36° greater than the angle delta. Deter
- Calculate 7580
The isosceles triangle XYZ has a base of z = 10 cm. The angle to the base is the sum of the angles at the base. Calculate the area of the triangle XYZ.
- Calculate 7572
At eight in the morning, a cyclist went from city K to city L. He stayed in city L for 4.25 hours and returned home at 3:00 p.m. Calculate the distance between cities K and L if the cyclist traveled to city L at a speed of 12 km/h and from city L to city
- Pedestrian 7570
A pedestrian left town S at a speed of 4.2 km/h. After 1 hour and 10 minutes, a cyclist left the same city and in the same direction at a speed of 18 km/h. After how many minutes does the cyclist catch up with the pedestrian, and how far from town S?
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