On a map with a scale of 1:1000000, the distance between a and B is 10 cm, while the distance between a and B on another map is 5 cm What is the scale of the other map? What rules do you find by comparing the data?

On a map with a scale of 1:1000000, the distance between a and B is 10 cm, while the distance between a and B on another map is 5 cm What is the scale of the other map? What rules do you find by comparing the data?


The answer of the first floor is wrong. The answer to this question is as follows: distance on the map △ scale = actual distance, then use the actual distance x scale = distance on the map, the formula is: 10 △ 1 / 1000000 = 10000000, 5 △ 10000000 = 1 / 2000000. The rule is: the larger the scale, the smaller the distance on the map; the smaller the scale, the larger the distance on the map



A mathematical problem of the distance between two places
The speed of a is 48km / h, and that of B is 54km / h. when they meet, they are 36km away from the center of a and B. find the distance between a and B


The speed ratio is 48:54 = 8:9
The distance between the two places is 36 * 2 / [9 / (8 + 9) - 8 / (8 + 9)] = 1224 (km)
Or 36 / [9 / (8 + 9) - 1 / 2)] = 1224 (km)
When we meet, a makes 9 / 17 of the whole journey and B makes 8 / 17 of the whole journey, with a difference of 36 * 2 = 72 km
Or when they meet, a makes 9 / 17 of the total distance, 36 kilometers from the midpoint, 9 / 17-1 / 2 = 1 / 34 of the total distance



Find the distance between the two places
There are two places: AB and Xiaoming. Xiaoming's family lives in a and Xiaoli's family lives in B. It takes Xiaoming 10 hours to get to Xiaoli's home and Xiaoli 15 hours to get to Xiaoming's home. Now they are walking towards each other. They meet at 25km away from the midpoint of AB and seek the distance between AB and Xiaoli?


The time ratio for Xiaoming and Xiaoli to walk the same distance is 10:15, that is, 2:3, so the speed ratio is 3:2
So, when we met, Xiao Ming walked 3 / (3 + 2) = 3 / 5 of the whole journey
So the whole journey is: 25 ÷ (3 / 5-1 / 2) = 250 km



On the map of scale 1:5000000, the distance between the two places measured is 6cm. A and B two cars come from both places at the same time
It is known that the speed ratio of car a and car B is 2:3. What is the distance of car a per hour?


The actual distance is
0.06 * 5000000 = 300km
Let the speed of car a be 2a and that of car B be 3a
Then 2 * (2a + 3a) = 300
A = 30 km / h
The speed is 60 km / h
B. the speed is 90 km / h