
Из двух городов одновременно навстречу друг другу выехали две машины , одна машина проезжает за час
одну пятую расстояния между городами , а другая одну третью . Какая часть расстояния будет через час после выезда между машинами?

Ответы на вопрос




Calculation of the Distance Traveled by Each Car
To determine the portion of the distance between the two cities that will be covered by the cars after one hour, we need to calculate the distance traveled by each car in that time.
Let's assume that the total distance between the two cities is represented by D.
According to the information provided, one car covers 1/5 of the distance in one hour, while the other car covers 1/3 of the distance in one hour.
To calculate the distance traveled by each car, we can use the following formulas:
- Distance traveled by the first car: (1/5) * D - Distance traveled by the second car: (1/3) * D
Calculation of the Remaining Distance
To determine the portion of the distance between the two cities that will be left after one hour, we need to subtract the distances traveled by the cars from the total distance.
The remaining distance can be calculated using the following formula:
- Remaining distance: D - [(1/5) * D] - [(1/3) * D]
Simplifying the formula, we get:
- Remaining distance: D - (1/5)D - (1/3)D
To find a common denominator, we can multiply the fractions by 15:
- Remaining distance: 15D/15 - 3D/15 - 5D/15
Simplifying further, we get:
- Remaining distance: (15D - 3D - 5D)/15
- Remaining distance: 7D/15
Therefore, after one hour, the portion of the distance between the two cities that will be left is 7D/15.
Answer
After one hour, the portion of the distance between the two cities that will be left is 7D/15.
Please note that the actual value of the remaining distance depends on the specific distance between the two cities, which is not provided in the question.


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