Question

За 6 мин Сева моет 30 тарелок. За сколько минут он вымоет 60 тарелок, если каждую минуту он моет тарелок поровну? *Составьте и решите задачу, обратную данной.

Answer 1

Решения начальной:
60/30=2
6*2=12 (м)
Ответ:за 12 минут он вымоет 60 тарелок
Составленная задача:За 12 минут Сева моет 60 тарелок,за сколько минут он вымоет 30 тарелок,если каждую минуту он моет тарелок поровну.
Решение составленной задачи:
60/12=5 (т) - за одну минуту
30/5=6 (м)
Ответ:за 6 минут он вымоет 30 тарелок

Answer 2

#### Problem Statement Seva can wash 30 plates in 6 minutes. If he washes an equal number of plates every minute, how long will it take him to wash 60 plates? #### Solution To solve this problem, we can set up a proportion to find the time it takes Seva to wash 60 plates. Let's assume that Seva washes x plates in y minutes. We know that he washes 30 plates in 6 minutes. Using this information, we can set up the following proportion: x plates / y minutes = 30 plates / 6 minutes To find the value of x when y = 1 (since Seva washes an equal number of plates every minute), we can cross-multiply and solve for x: x = (30 plates / 6 minutes) * y minutes x = 5y plates Now, we can substitute x = 5y into the proportion: 5y plates / y minutes = 30 plates / 6 minutes Simplifying the proportion: 5y / y = 30 / 6 5 = 30 / 6 To solve for y, we can cross-multiply: 5 * 6 = 30 * y 30 = 30y Dividing both sides by 30: 30 / 30 = y 1 = y Therefore, it will take Seva 1 minute to wash 5 plates. Now, let's solve the reverse problem. #### Reverse Problem If Seva washes 60 plates, how long will it take him if he washes an equal number of plates every minute? To solve this problem, we can set up a proportion using the information we found earlier: x plates / y minutes = 5 plates / 1 minute To find the value of y when x = 60 plates, we can cross-multiply and solve for y: y = (5 plates / 1 minute) * x minutes y = 5x plates Now, we can substitute x = 60 into the proportion: 5x plates / y minutes = 5 plates / 1 minute Simplifying the proportion: 5x / y = 5 / 1 5x = 5y To solve for y, we can divide both sides by 5: 5x / 5 = y x = y Therefore, it will take Seva 60 minutes to wash 60 plates if he washes an equal number of plates every minute. I hope this helps! Let me know if you have any further questions.