Question

Белка без ореха бежит со скоростью 300м/мин.,а с орехом-150м/мин.На каком расстоянии расположен орешник от гнезда,если белка за 30мин.успевает добежать до него и вернуться обратно с орехом? Решите плз! Срочно!

Answer 1

Пусть х - расстояние до орешника, тогда

x/300 +x/150 = 30 
(x+2x)/300 = 30 
3x=9000
x= 9000 :3
х= 3000

Ответ: орешник расположен на расстоянии 3000 метров 

Answer 2

Problem Analysis

We are given that a squirrel runs at a speed of 300 m/min without a nut and at a speed of 150 m/min with a nut. The squirrel is able to reach the nut tree and return to its nest within 30 minutes. We need to determine the distance between the nest and the nut tree.

Solution

Let's assume that the distance between the nest and the nut tree is d meters.

When the squirrel runs without a nut, it covers the distance d at a speed of 300 m/min. Therefore, the time taken to reach the nut tree is given by:

Time taken to reach the nut tree without a nut = d / 300 minutes

When the squirrel runs with a nut, it covers the same distance d at a speed of 150 m/min. Therefore, the time taken to return to the nest is given by:

Time taken to return to the nest with a nut = d / 150 minutes

According to the given information, the squirrel is able to complete the round trip within 30 minutes. Therefore, we can write the equation:

Time taken to reach the nut tree without a nut + Time taken to return to the nest with a nut = 30 minutes

Substituting the expressions for the times:

d / 300 + d / 150 = 30

To solve this equation, we can multiply through by 300 to eliminate the denominators:

2d + 3d = 9000

5d = 9000

d = 9000 / 5

d = 1800 meters

Therefore, the distance between the nest and the nut tree is 1800 meters.

Answer

The distance between the nest and the nut tree is 1800 meters.