Question

Гномы одной горной пещеры решили помочь великану собрать яблоки.В первый день они работали 6 часов,а во второй-на 1 час больше,чем в третий день.Сколько часов работали гномы во второй и сколько в третий,если всего за три дня они отработали 15 часов?

Answer 1

1/ 15-6=9
2/9-1=8
3/8:2=4-3 ДЕНЬ
4/4+1=5-2 ДЕНЬ

Answer 2

15-6=9 отработали в 2 и 3 день
9-1=8
8:2=4 В 3 день
4+1=5 Во 2 день

Answer 3

Problem Analysis

The problem states that a group of gnomes in a mountain cave decided to help a giant collect apples. On the first day, they worked for 6 hours, and on the second day, they worked 1 hour more than on the third day. The total number of hours they worked over three days is 15. We need to determine how many hours the gnomes worked on the second and third days.

Solution

Let's assume that the number of hours the gnomes worked on the third day is x. According to the problem, the number of hours they worked on the second day is 1 hour more than on the third day, so it is x + 1.

To find the total number of hours worked over three days, we can add up the hours worked on each day:

6 hours (first day) + (x + 1) hours (second day) + x hours (third day) = 15 hours

Now we can solve this equation to find the value of x.

Solving the Equation

To solve the equation, we can simplify it by combining like terms:

6 + x + 1 + x = 15

Combining the x terms:

2x + 7 = 15

Subtracting 7 from both sides:

2x = 8

Dividing both sides by 2:

x = 4

So, the gnomes worked 4 hours on the third day. Since they worked 1 hour more on the second day than on the third day, they worked 4 + 1 = 5 hours on the second day.

Answer

The gnomes worked 5 hours on the second day and 4 hours on the third day.

Verification

To verify our answer, let's substitute the values we found back into the original equation:

6 hours (first day) + 5 hours (second day) + 4 hours (third day) = 15 hours

6 + 5 + 4 = 15

15 = 15

The equation is true, which confirms that our answer is correct.