Question

Толя и Коля вскапывают грядку за 20 минут, а один Коля - за 36 минут. За сколько часов вскапывает грядку один Толя?

Answer 1

Ответ:3/4 часа

Пошаговое объяснение:

Примем грядку за 1

1:20=1/20(грядки)-вскопают Толя и Коля за 1мин;

1:36=1/36(грядки)-вскопает Коля за 1 мин;

1/20-1/36= (18-10)/360=8/360= =1/45(грядки)-вскопает Толя за 1 мин;

1: 1/45=1*45=45(мин)= =45/60(час)=3/4(часа)-понадобится Толе, чтоб одному вскопать грядку

Answer 2

To solve this problem, we can use the concept of work rate. The work rate is the amount of work done per unit of time. Let's assume that the total work of digging the bed is represented as 1 (one complete bed).

We know that Tolya and Kolya together can dig the bed in 20 minutes. So their combined work rate is 1 bed / 20 minutes = 1/20 beds per minute.

Now, we are given that one Kolya can dig the bed in 36 minutes. So Kolya's work rate is 1 bed / 36 minutes = 1/36 beds per minute.

To find out how long it takes Tolya to dig the bed alone, we'll subtract Kolya's work rate from their combined work rate:

Tolya's work rate = Combined work rate - Kolya's work rate Tolya's work rate = 1/20 - 1/36 Tolya's work rate = (18 - 10) / 360 Tolya's work rate = 1/360 beds per minute

Now, we want to find out how long it takes Tolya to dig one bed. To do that, we take the reciprocal of Tolya's work rate:

Time taken by Tolya to dig one bed = 1 / (1/360) = 360 minutes

Since there are 60 minutes in an hour, we can convert the time to hours:

Time taken by Tolya to dig one bed = 360 minutes / 60 minutes per hour = 6 hours

So, it takes Tolya 6 hours to dig the bed alone.