Equations practice problems - page 183 of 250
Number of problems found: 4996
- Aircraft speeds
Two planes take off simultaneously from airports A and B, fly towards each other, and meet in 20 minutes. The distance between the airports is 220 km, and the average speed of the aircraft flying from airport A is 60 km/h more than the average speed of th - Tank filling
A worker would fill the tank with one inlet in 36 minutes, the other in 45 minutes. How long will it take to fill the tank if the water flows through the first inlet for 9 minutes and then both simultaneously? - Wine cost
Five liters of white wine and six liters of red wine cost 432 CZK. One liter of red wine is CZK 6, which is more expensive than one liter of white wine. Thus, we pay CZK 6 for one liter of white wine and CZK 6 for one liter of red wine. - Diagonals of a rhombus
One of the diagonals of a rhombus is twice the other. If the sum of the lengths of the diagonals is 24, find the area of the rhombus. - Father and sons
After 15 years, the father will have as many years as his two sons together now. There is a six-year difference between the brothers, and the older one celebrated fifty years three years ago. How old is their father now? - Pharmacy
The pharmacy adds 3 liters of 95 percent alcohol and 5 liters of 38.04 percent alcohol. How much percent alcohol did the pharmacy get? - Water temperature
Mom is going to wash by hand in water that should be at 40 °C. The tub already has 10 liters of water at a temperature of 12.3 °C and can still hold 5 liters. What temperature should the water be allowed to be? - Plane meeting The distance between the two airports is 3480 km. There are regular connections from airport 1. The plane takes off at 6:30 am at an average speed of 600 km/h. From airport two at 7:00 am at a speed of 540 km/h. When will they meet?
- Factorial equation
Solve the equation: x!: 5 = 1008 The solution to the equation is a natural number. - Car speeds
A truck left Beroun at 7 o'clock in the direction of Prague on the highway in the fog. In 20 minutes after that, a car drove by at the same place and along the same route at a 27 km/h higher speed. The passenger car overtook the truck after another twenty - Time gone The Square of Richard's age equals the age of his mother. When he is two times older, his mom will be seven times older than him. Thus, Richard and his mom are seven times older.
- Right triangle eq2
The hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the other leg. Determine the perimeter and area of the triangle. - Catching up
Peter and Charles live at the same address. Peter will drive to the stadium in 30 minutes and Charles in 40 minutes. If Charles leaves 5 minutes earlier, where will Peter catch up with him? - Equation notation
The number x - twice increased by seven to 31. Write the notation and calculate the equation. - Equation solving
If we add 9 to its four times, we get 33. Make a notation and solve the equation - Oat bags
The cowboy will give the sheriff two bags of oats, and the sheriff will have 2x more bags than the cowboy. If the sheriff gives two bags of oats to the cowboy, they will both have the same. How many bags does each have? - Desserts cost
Annie has 50 CZK, Anežka has 46 CZK, and they want to use all the money to buy desserts for a family celebration. They decide between cakes and pinwheels. A pinwheel is CZK 4 more expensive than a cake, and for all the money, you could buy a third more ca - Unknown number xyz Find the number that is triple is 24. Solve by equation.
- Orchard trees
Calculate how many trees are in an orchard if you know that 5/12 orchards consist of apple trees, 1/6 plums, and 1/60 walnuts. The remaining 30 trees are pear trees. - Distance calculation
What is the distance from Prague to Mladá Boleslav if 40 km is eight-tenths of that distance?
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