Question

Помогите будьте добры валя и галя пропалывают грядку за 35 минут а одна Галя за 60 минут. За сколько минут пропалывает одна Валя?

Answer 1

35*(Vг+Vв) =60*Vг
Vв=Vг*5/7 Валя работает медленнее Гали
60+7/5=84
Ответ: за 84 мин

Answer 2

Problem Analysis

We are given that Valya and Galya can weed a garden bed in 35 minutes together, while Galya alone can weed the same bed in 60 minutes. We need to determine how long it would take Valya to weed the bed alone.

Solution

Let's assume that Valya's weeding rate is V beds per minute and Galya's weeding rate is G beds per minute. We can set up the following equation based on the given information:

1/V + 1/G = 1/35 ---(1)

We also know that Galya alone can weed the bed in 60 minutes, so her weeding rate can be expressed as:

1/G = 1/60 ---(2)

We can solve this system of equations to find the values of V and G.

Solution Steps

1. Substitute the value of 1/G from equation (2) into equation (1):

1/V + 1/60 = 1/35

2. Multiply both sides of the equation by 60V to eliminate the denominators:

60 + V = 60V/35

3. Simplify the equation:

60 + V = 12V/7

4. Multiply both sides of the equation by 7 to eliminate the fraction:

420 + 7V = 12V

5. Rearrange the equation:

5V = 420

6. Divide both sides of the equation by 5 to solve for V:

V = 84

Therefore, Valya can weed the garden bed alone at a rate of 84 beds per minute.

Answer

Valya can weed the garden bed alone in 84 minutes.