Question

К 11:30 трактор загнул 1/3 всего участка, а к 13:00 - 1/2. За сколько часов трактор очистит весь участок?​

Answer 1

Ответ:

за 9 часов

Пошаговое объяснение:

За 13:00-11:30=1:30 трактор очистил ½-⅓=(3/6)-(2/6)=⅙ участка. Тогда весь участок он очистит за 6×1:30=9 часов.

Answer 2

Problem Analysis

We are given that a tractor bent 1/3 of the entire plot by 11:30 and 1/2 of the plot by 13:00. We need to determine how many hours it will take for the tractor to clear the entire plot.

Solution

Let's assume that the entire plot is represented by the value 1.

By 11:30, the tractor has cleared 1/3 of the plot. This means that 2/3 of the plot is still uncleared.

By 13:00, the tractor has cleared 1/2 of the plot. This means that 1/2 of the plot is still uncleared.

To find out how many hours it will take for the tractor to clear the entire plot, we need to determine the fraction of the plot that is cleared per hour.

From 11:30 to 13:00, which is a time span of 1.5 hours, the tractor cleared 1/2 - 1/3 = 1/6 of the plot.

Therefore, the fraction of the plot cleared per hour is (1/6) / 1.5 = 1/9.

To clear the remaining 1/2 of the plot, the tractor will need (1/2) / (1/9) = 9/2 = 4.5 hours.

Answer

The tractor will take 4.5 hours to clear the entire plot.