Question

из ташкента и самарканда выехали одновременно навстречу друг другу две машины. Машина выехавшая из ташкента з аодин час проходит одну четвертую часть пути, а машина выехавшая из самарканда за один час проходит одну пятую часть пути. На какую часть пути сблизились машины за один час

Answer 1

1-(1/4+1/5)=1-9/20=11/20

Answer 2

1/4 + 1/5 = 5/20 + 4/20 = 9/20 (пути)
Ответ: на 9/20 пути машины сблизились за один час.

Answer 3

Problem Analysis

Two cars start from Tashkent and Samarkand simultaneously and travel towards each other. The car that started from Tashkent covers one-fourth of the distance in one hour, while the car that started from Samarkand covers one-fifth of the distance in one hour. We need to determine how much of the total distance the cars will have covered in one hour when they meet.

Solution

Let's assume the total distance between Tashkent and Samarkand is D.

The car that started from Tashkent covers one-fourth of the distance in one hour, which is D/4.

The car that started from Samarkand covers one-fifth of the distance in one hour, which is D/5.

When the two cars meet, the sum of the distances covered by both cars will be equal to the total distance between Tashkent and Samarkand.

So, we can write the equation:

D/4 + D/5 = D

To solve this equation, we can find a common denominator and simplify:

5D/20 + 4D/20 = D

9D/20 = D

Now, we can solve for D:

9D = 20D

Dividing both sides by D:

9 = 20

This is not possible, which means there is no solution to this problem. The cars will not meet within one hour.

Conclusion

The cars will not meet within one hour.