Question

Том Сойер и Гекльберри Финн вместе могут покрасить забор за 6 часов. Том Сойер, работая один, может выполнить эту работу за 15 часов. Во сколько раз больше Гекльберри Финн покрасит за 1 час, чем Том Сойер? Ответ запишите в виде несократимой обыкновенной дроби с выделенной целой частью. Введите значение целой части. Введите значение числителя дробной части. Введите значение знаменателя дробной части.

Answer 1

($\frac{1}{15}$+ $\frac{1}{x}$)6=1
$\frac{1}{15}$+ $\frac{1}{x}$= $\frac{1}{6 }$
$\frac{1}{x}$= $\frac{1}{6}$- $\frac{1}{15}$
$\frac{1}{x}$= $\frac{5-2}{30}$
$\frac{1}{x}$= $\frac{1}{10}$
$\frac{1}{10}$:$\frac{1}{15}$= $\frac{1}{10}$•15= $\frac{3}{2}$=1 $\frac{1}{2}$
Ответ: в 1 $\frac{1}{2}$раз

Answer 2

Ответ:

Пошаговое объяснение:

1/(1/x+1/15)=6

(9x-90)/(x+15)=0

9x-90=0

9x=90

x=90/9

x=10

1/10*15/1=15/10=1 1/2

Answer 3

Problem Analysis

We are given that Tom Sawyer and Huckleberry Finn can paint a fence together in 6 hours. We also know that Tom Sawyer can complete the job alone in 15 hours. We need to determine how many times more Huckleberry Finn can paint in 1 hour compared to Tom Sawyer.

Solution

Let's assume that Huckleberry Finn can paint x fences in 1 hour.

From the given information, we can set up the following equation based on the work rates:

1/15 + 1/x = 1/6

To solve for x, we can multiply both sides of the equation by 30x:

2x + 30 = 5x

Rearranging the equation:

3x = 30

Dividing both sides by 3:

x = 10

Therefore, Huckleberry Finn can paint 10 fences in 1 hour.

To determine how many times more Huckleberry Finn can paint in 1 hour compared to Tom Sawyer, we can calculate the ratio:

Huckleberry Finn's rate / Tom Sawyer's rate = 10 / 1 = 10

Therefore, Huckleberry Finn can paint 10 times more in 1 hour compared to Tom Sawyer.

Answer

Huckleberry Finn can paint 10 times more in 1 hour compared to Tom Sawyer.