Equation + length - practice problems - page 24 of 26
Number of problems found: 512
- Geodesist
Triangle-shaped field (triangle ABC) has a side AB = 129 m. path XY is parallel to the side AB, which divides triangle ABC into two parts with the same area. What will be the length of path XY? Help, please, geodesist.
- Moving
Vojta left the house at three o'clock at 4 km/h and, half an hour later, went from the same place to Filip by bicycle at speed 11 km/h. How long does it take Tilip to catch up with Vojta, and how far from the house?
- Built-up area
John build-up area 4.3 x 6.3 = 27.09 m² with building with a wall thickness 25 cm. How many centimeters would he have to subtract from the thickness of the walls that the built-up area fell by 5%?
- Car
The car goes from point A to point B at speed 84 km/h and back 67 km/h. If it goes there and back at speed 77 km/h trip would take 20 minutes shorter. What is the distance between points A and B?
- Train
A passenger train traveled for 2 hours 74 km. 3.1 hours after its departure started fast train and caught it on 186 km. How many km/h is different from its average speed?
- Homework - jumps
Sasha jumped 131 cm Peter 4 cm more than Jirka. Jirka 6 cm less than Misha. Misha 7 cm less than Filip, and Filip is half as much as Sasha and Petr together. How far does each jump?
- IS trapezoid
Isosceles trapezoid arm measured 35 cm. Height is 30 cm, and the middle segment is 65 cm. Find the length of its bases.
- Paddlers
Students of canoeists traveled on a trip of three days 102 km. On the second day, they traveled 15% more than the first day and on the third day 9 km over the second day. How many kilometers are traveled each day?
- Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals.
- Prism
Three cubes are glued into a prism. The sum of the lengths of all its edges is 487 cm. What is the length of one edge of the original cube?
- Clock
How many times a day do hands on a clock overlap?
- Steamship
Between the two ports on the river is going steamship. The journey there and back takes 8:42. Downstream steamship traveling at 20 km/h, upstream 9 km/h. What is the distance between the ports?
- Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the other end of the fence?
- River
From the observatory 18 m high and 31 m from the riverbank, river width appears in the visual angle φ = 20°. Calculate the width of the river.
- Triangle ABC
Calculate the sides of the triangle ABC with an area of 1995 cm², and if sides are in a ratio a: b: c = 3:6:6
- Quarter circular
The wire hooked around the perimeter of the quarter-circular arc has a length of 14π+56. Determine the radius of the circle arc.
- Two cars
Two cars started against each other simultaneously to journey long 230 km. The first car went 48 km/h and the second 56 km/h. What distance will be between these cars 20 minutes before a meeting?
- Rope
Half of the rope used Mam for packaging, half of the rest got a son, half of the rest he took the father and two-fifths of what remained and got a daughter. Remained 143 cm of rope. How long was the rope at the beginning?
- Car
A car travels 3/7 of the trip on the first day, the second day 1/4 of the trip, and leaves even 340 km for the following days. How long is the trip?
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