Equation + length - practice problems - page 22 of 24
Number of problems found: 476
- Abyss
The stone fell into the abyss: 2 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 343 m/s) - Rectangle - sides
A rectangle has an area 266 cm². The length of the shorter side is 5 cm fewer than the length of the longer side. What is the perimeter of a rectangle? - Rhombus
The rhombus with area 137 has one diagonal that is longer by 5 than the second one. Calculate the length of the diagonals and rhombus sides. - Train and car
The train and the car started at a constant speed journey. When the train travels 87 km, the car travels 97 km. How many km travels the train when the car travels 87 km?
- Walkers
Two walkers simultaneously started against each other from places A and B. After the meeting, both continued to B. Second walker came to B 2 hours before the first walker. Its speed is 2.7 times the speed of the first pedestrian. How many hours went pedes - Cyclists
The cyclist who rides at an average speed 16 km/h travels a trip distance 10 min before the cyclist who rides at an average speed 11 km/h. What is the length of this cyclist trip(distance in km)? - 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. After half an hour later went from the same place Filip by bicycle at speed 18 km/h. How long take Tilip to catch up with Vojta, and how far from the house? - Built-up area
John build-up area 5 x 7 = 35 m² with building with a wall thickness 30 cm. How many centimeters would he have to subtract from the thickness of the walls that the built-up area fell by 9%?
- Car
The car goes from point A to point B at speed 86 km/h and back 53 km/h. If it goes there and back at speed 67 km/h trip would take 10 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 trip traveled in 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 radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals. - 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 102 m. How far is it from another end of the fence? - River
From the observatory 11 m high and 24 m from the riverbank, river width appears in the visual angle φ = 13°. Calculate the width of the river.
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