Question

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

Answer 1

1) 15-6=9(ч) - во второй и в третий день
2) (9-1):2=8:2=4(ч) - в третий день
3) 4+1=5(ч)
Ответ. Во второй день они работали 5 часов, а в третий 4 часа

Answer 2

Problem Analysis

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

Solution

Let's assume that the gnomes worked x hours on the second day and y hours on the third day. We can set up the following equations based on the given information:

Equation 1: x = y + 1 (The second day they worked 1 hour more than the third day) Equation 2: 6 + x + y = 15 (The total hours worked over the three days is 15)

We can solve this system of equations to find the values of x and y.

Solving the Equations

Substituting Equation 1 into Equation 2, we get:

6 + (y + 1) + y = 15 2y + 7 = 15 2y = 15 - 7 2y = 8 y = 8 / 2 y = 4

Substituting the value of y back into Equation 1, we get:

x = 4 + 1 x = 5

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

Answer

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

Verification

Let's verify our answer by checking if the total hours worked over the three days is indeed 15.

6 + 5 + 4 = 15

The total hours worked is indeed 15, which confirms that our answer is correct.