Question

Даша и Маша одновременно.начали переплыв.речку. Маша плывет в 3 раза быстрее Даши.Через 4 мин.выяснилось,что Даша проплыла 24 м.,а Маше осталось проплыть 36 м. Через сколько мин.переплывет речку Даша?

Answer 1

24м/4мин=6м в мин плывет Даша
6*3=18м в мин плывет Маша
36м/18=2 мин осталось плыть Маше
4+2=6 мин всего плыл. Маша
6*3=18 мин плыла даша

Answer 2

Problem Analysis

We are given that Dasha and Masha are swimming across a river simultaneously. Masha swims three times faster than Dasha. After 4 minutes, it is determined that Dasha has swum 24 meters, while Masha still has 36 meters left to swim. We need to determine how many minutes it will take for Dasha to swim across the river.

Solution

Let's assume that Dasha's swimming speed is x meters per minute. Since Masha swims three times faster than Dasha, her swimming speed is 3x meters per minute.

After 4 minutes, Dasha has swum 24 meters. Therefore, her swimming speed can be calculated as follows:

24 meters = x meters/minute * 4 minutes

Simplifying the equation, we have:

x = 24 meters / 4 minutes x = 6 meters/minute

Now that we know Dasha's swimming speed, we can calculate the total distance she needs to swim across the river. Since Masha swims three times faster, her total distance will be three times greater than Dasha's remaining distance:

Dasha's remaining distance = 36 meters

Masha's total distance = 3 * Dasha's remaining distance Masha's total distance = 3 * 36 meters Masha's total distance = 108 meters

To find out how long it will take for Dasha to swim across the river, we can use the formula:

Time = Distance / Speed

Time = 108 meters / 6 meters/minute Time = 18 minutes

Therefore, it will take Dasha 18 minutes to swim across the river.

Answer

Dasha will swim across the river in 18 minutes.

Source:

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