Question

учебник стр.182 №657ЧЕРЕЗ ПЕРВУЮ ТРУБУ БАССЕЙН МОЖНО НАПОЛНИТЬ ЗА 3 ЧАСА,ЧЕРЕЗ ВТОРУЮ-ЗА 6 Ч.1)КАКУЮ ЧАСТЬ БАССЕЙНА НАПОЛНИТ КАЖДАЯ ТРУБА ЗА 1 Ч? 2)КАКУЮ ЧАСТЬ БАССЕЙНА НАПОЛНЯТ ЗА 1 Ч ДВЕ ТРУБЫ ВМЕСТЕ ? 3)ЗА СКОЛЬКО ЧАСОВ НАПОЛНИТСЯ ВЕСЬ БАССЕЙН ,ЕСЛИ ОТКРЫТЬ ОБЕ ТРУБЫ ОДНОВРЕМЕННО? №658 Б)Одна дригадаможет выполнить работу за 6 дней ,а другая -за 12 дней.За сколько дней две бригады выполнят ту же работу вместе?

Answer 1

первая труба за час наполнит 1/3 бассейна

вторая 1/6

две вместе 1/3 + 1/6=2/6+1/6=3/6=1/2 бассейна

1/   1/2=2 часа 

 

№658

 вычисли какой объем работ выполняют каждая бригада за 1 день

первая за день выполняет 1/6 а вторая 1/12

вместе за 1 день они выполняют 1/6 + 1/12= 2/12+1/12=3/12=1/4

значит вместе они выполнят всю работу за  1/ 1/4=4 дня

Answer 2

Task: Solving a problem from textbook page 182, exercise 657

According to the search results, I couldn't find the specific textbook page 182, exercise 657 that you mentioned. However, I can help you solve the problem based on the information you provided. Please find the solutions below:

1) How much of the pool can each pipe fill in 1 hour? - If the first pipe can fill the pool in 3 hours, it means that it can fill 1/3 of the pool in 1 hour. - If the second pipe can fill the pool in 6 hours, it means that it can fill 1/6 of the pool in 1 hour.

2) How much of the pool can two pipes fill together in 1 hour? - To find the combined rate of filling, we add the rates of the two pipes. - The combined rate of filling is 1/3 + 1/6 = 1/2. - Therefore, the two pipes together can fill half (1/2) of the pool in 1 hour.

3) How many hours will it take to fill the entire pool if both pipes are opened simultaneously? - Since the two pipes together can fill half (1/2) of the pool in 1 hour, it will take 2 hours to fill the entire pool. - Therefore, if both pipes are opened simultaneously, the pool will be filled in 2 hours.

Task: Solving a problem from textbook page 182, exercise 658

Similarly, I couldn't find the specific textbook page 182, exercise 658 that you mentioned in the search results. However, I can help you solve the problem based on the information you provided. Please find the solution below:

The first brigade can complete the work in 6 days, and the second brigade can complete the work in 12 days. To find out how many days it will take for both brigades to complete the work together, we can use the concept of work rates.

Let's assume that the work to be done is represented by the variable "W." The work rate of the first brigade is 1/6 of the work per day, and the work rate of the second brigade is 1/12 of the work per day.

To find the combined work rate of both brigades, we add their individual work rates:

1/6 + 1/12 = 2/12 + 1/12 = 3/12 = 1/4

Therefore, the combined work rate of both brigades is 1/4 of the work per day.

To find the number of days it will take for both brigades to complete the work, we can use the formula:

Number of days = Total work / Combined work rate

Since the total work is represented by "W" and the combined work rate is 1/4, we have:

Number of days = W / (1/4) = W * (4/1) = 4W

Therefore, it will take 4 times the work to be done for both brigades to complete the work together.

Please note that the specific value of "W" is not provided in the question, so we cannot determine the exact number of days without that information.