Question

Пётр Ленивцев может покрасить стену за 24 ч , а Иван Трудолюб-за 8 ч . Какая часть стены останется неокрашенной после 1 ч совместной работы Ленивцева и Трудолюба ?

Answer 1

1:24=1/24 часть красит Ленивцев за 1 час
1:8=1/8 часть красит Трудолюб за 1 час
1/24+1/8=1/6 часть красят вместе за 1 час
1-1/6=5/6 части останется неокрашенной
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Answer 2

Calculation of the Remaining Unpainted Portion of the Wall

To determine the remaining unpainted portion of the wall after 1 hour of joint work by Lenivtsev and Trudolyub, we need to calculate the individual painting rates of each person and then determine the combined rate of painting.

According to the given information: - Petr Lenivtsev can paint the wall in 24 hours. - Ivan Trudolyub can paint the wall in 8 hours.

Let's calculate the individual painting rates:

- Petr Lenivtsev's painting rate: 1/24 of the wall per hour. - Ivan Trudolyub's painting rate: 1/8 of the wall per hour.

To find the combined painting rate, we add the individual rates:

Combined painting rate = Petr Lenivtsev's rate + Ivan Trudolyub's rate

Let's calculate the combined painting rate:

Combined painting rate = 1/24 + 1/8 = 1/24 + 3/24 = 4/24 = 1/6 of the wall per hour.

Therefore, the combined painting rate of Lenivtsev and Trudolyub is 1/6 of the wall per hour.

To find the remaining unpainted portion of the wall after 1 hour of joint work, we subtract the combined painting rate from the total wall:

Remaining unpainted portion = Total wall - Combined painting rate

Since the total wall is 100% or 1, the remaining unpainted portion after 1 hour of joint work is:

Remaining unpainted portion = 1 - 1/6 = 5/6 of the wall.

Therefore, after 1 hour of joint work by Lenivtsev and Trudolyub, 5/6 of the wall will remain unpainted.