Ratio - math word problems - page 34 of 84
Number of problems found: 1670
- A cliff
A line from the top of a cliff to the ground passes just over the top of a pole 5 ft high. It meets the ground at a point 8 ft from the base of the pole. The point is 93 ft from the base of the cliff. How high is the cliff? - Mr. Ben
Mr. Ben drives bricks to the construction site. If he drove three times a day, he would make bricks in 8 days. How many times a day would he goes every day to be done two days earlier? - Pool nozzle filling
Eighteen nozzles fill the pool in 12 and a half hours. How long does it take for the pool to fill 15 nozzles? - Everyone drinks the same
Twenty-four bricklayers drink 72 bottles of beverages per day at a construction site. How many bottles would 19 bricklayers need? Assume everyone drinks the same amount. - Solution Without Equations
The ratio of Eva's and Zdeněk's ages is currently 3:2; in six years this ratio will be 9:7. a) How old are the siblings now? b) By how many years and how many times older is Eva than Zdeněk? c) By how many years and how many times older will Eva be than Z - Number ratio sum
The two natural numbers are in the ratio of 3:13, and we will denote their sum. Which of the following values cannot its sum be? a) 64 b) 96 c) 112 d) 39 - Circumference + sides
The lengths of the triangle sides are in the ratio of 3:5:7. Its circumference is 45 cm. Find its lengths. - Refractive index
The light passes through the interface between air and glass with a refractive index of 1.5. Find: (a) the angle of refraction if light strikes the interface from the air at an angle of 40°. (b) the angle of refraction when light hits the glass interface - Similarity of squares
There is a given square ABCD with a = 5.3 cm. If the similarity ratio k = 3 cm, determine the side size of a similar square. Then, calculate the area and perimeter of the magnified square. - Two villages
Two villages are 11.5 km apart. On a map, this distance is represented by a 5 cm line. Find the scale of the map. - Map distance calculation
On a map with a scale of 1:40000, the distance between two mountain peaks is given by a segment of 16 cm. How far will the same vertices be on a map with a scale of 1:140000? Round the result to millimeters. Solve using the trinomial - Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously. - Map scale determination
Determine the map's scale if the 1.6 km, 2.4 km, and 2.7 km triangle-shaped forests are drawn on the map as a triangle with sides of 32 mm, 48 mm, and 54 mm. - Petrol consumption calculation
What kind of petrol consumption in liters of 100 km did the car have when driving in the city if it consumed 34 liters of petrol and drove 388 km? - Building shadow height The shadow of the building is 16 m long, and the shadow of the vertical meter rod is 0.8 m long at the same time. What is the height of the building?
- The straight
The straight path rises by 72 cm every 3 m of its length. How many meters will it climb to 350 m? - Volume of sphere
How many times does the volume of a sphere increase if its radius increases two times? - The string
They cut 113 cm from the string and divided the rest in a ratio of 5:6.5:8:9.5. The longest part measured 38 cm. Find the original length of the string. - Gears
The front gear on the bike has 32 teeth, and the rear wheel has 12 teeth. How many times does the bike's rear wheel turn if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm? - Change the length
Change of line MN, MN = 4.7 cm in the ratio 5:3.
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