Question

А) Известно, что один строитель, работая один, сделает ремонт в комнате за 48ч. За сколько часов второй строитель, работая один, закончит ремонт, если вместе оба строителя могут сделать ремонт в комнате за 16?​

Answer 1

Ответ:

1 строитель- 48ч.

2 строитель-?ч.

Оба строителя-16ч.

48-16= 36(ч.)- 2 строитель.

Ответ:2 строитель- 36ч.

Answer 2

Ответ:

48-16=32ч

ответ Второй строитель будет делать за 32 часа

Пошаговое объяснение:

Answer 3

Problem Analysis

We are given that one builder can complete a room renovation in 48 hours when working alone. We need to determine how many hours it would take for a second builder, working alone, to complete the renovation if both builders can complete the renovation together in 16 hours.

Solution

Let's assume that the first builder's rate of work is represented by x (in terms of room renovations per hour). Since the first builder can complete the renovation in 48 hours, we can say that their work rate is 1/48 room renovations per hour.

Similarly, let's assume that the second builder's rate of work is represented by y (in terms of room renovations per hour). We need to find the value of y.

When both builders work together, their combined work rate is the sum of their individual work rates. So, the combined work rate is x + y.

We are given that both builders can complete the renovation together in 16 hours. This means that their combined work rate is 1/16 room renovations per hour.

Using the information above, we can set up the following equation:

x + y = 1/16 (Equation 1)

We also know that the first builder's work rate is 1/48 room renovations per hour. So, we can write:

x = 1/48 (Equation 2)

Now, we can substitute Equation 2 into Equation 1 to solve for y:

1/48 + y = 1/16

To simplify the equation, we can convert the fractions to have a common denominator:

1/48 + y = 3/48

Combining the fractions:

y = 3/48 - 1/48

Simplifying:

y = 2/48

Reducing the fraction:

y = 1/24

Therefore, the second builder's work rate is 1/24 room renovations per hour. This means that the second builder can complete the renovation working alone in 24 hours.

Answer

The second builder, working alone, will finish the renovation in 24 hours if both builders can complete the renovation together in 16 hours.