Ratio + length - practice problems - page 8 of 16
Number of problems found: 317
- Two trains
Two trains departed from City A and City B against each other. They met after some time. The first train took 9 hours to reach city B, and the second took 4 hours to reach city A. In what proportion were the train speeds? - Cheetah vs antelope
When the cheetah began chasing the antelope, the distance between them was 120 meters. Although the antelope was running at 72km/h, the cheetah caught up with it in 12 seconds. What speed was the cheetah running? - A rectangle 2
A rectangle has a diagonal length of 74cm. Its side lengths are in a ratio of 5:3. Find its side lengths. - Two villages
On the map with a scale of 1:40000 are drawn two villages actually 16 km away. What is their distance on the map?
- Particular 11591
The particular map has a scale of 1:75000 a) The distance between the two places on the map is 42mm. What is the actual distance? b) How long would the distance show, 15.75 km on the map? - Measures 10941
The city plan has a scale of 1:1500. Find the actual length of the bridge, which measures 1.1 cm on this plan. - Plan scale
The actual width of the room is 66 dm, and the width in the plan is 4.4 cm. What scale corresponds to the plan? - Dimensions 9371
Change both dimensions of the rectangle in a ratio of 5:3. Initially, the dimensions are 9cm and 15cm. What are the dimensions of the rectangle after the change? - The perimeter 3
The perimeter of a rectangle is 35 cm. The length ratio to its width is 3:2. Calculate the rectangle's dimensions.
- Kilometers 8343
The route of the tourist trip measures 28 cm on a map with a scale of 1:50000. The average speed of the march is 4km/h. How many kilometers does the trip measure? How many hours do students spend on the road? - Step-by-step 8273
On a map with a scale of 1:500,000, the aerial distance is equal to 12 cm. The distance by rail is equal to 100 km. The road distance is 92 km. Express the air, rail, and road distance in a step-by-step ratio. - Tourist
A tourist walked an average speed of 3.5 km/h route in 6 hours. Calculate how many hours he would have passed at an average speed of 5.5 km/h. - Geometric plan
At what scale is the building plan if one side of the building is 45m long and 12mm long on a plan? - Circumference 8251
Calculate the scale of the cadastral map, on which the square plot has a circumference of 20 cm and, in fact, 576m.
- Medians 2:1
The Median to side b (tb) in triangle ABC is 12 cm long. a. What is the distance of the center of gravity T from vertex B? b, Find the distance between T and the side b. - Determine 8183
Determine the length of the rectangle if the width is 28cm in a ratio of 7:4 (d: s). - Heights 8157
The heights of Jirka and David are in the ratio of 5: 3. Jirka is 60 cm taller than David. How much does Jirka measure? - Lighthouse
Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). | TT '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the s - Trapezium diagonals
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC.
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