3 часа со скоростью 54 км в час оказалось что он проехал 9/14 его пути Сколько всего километров он
должен проехать какой скоростью надо ехать автобус чтобы преодолеть оставшееся расстояние за 2 часа схему пжОтветы на вопрос
Problem Statement
A person travels for 3 hours at a speed of 54 km/h and realizes that they have covered only 9/14 of their total distance. The question is: how many kilometers does the person need to travel in total, and at what speed should they travel in order to cover the remaining distance in 2 hours?Solution
To solve this problem, we need to find the total distance the person needs to travel and the speed at which they should travel to cover the remaining distance in 2 hours.Let's start by finding the total distance the person needs to travel. We know that the person traveled for 3 hours at a speed of 54 km/h and covered only 9/14 of their total distance. We can set up the following equation:
Distance traveled = (Time traveled) x (Speed)
Let's calculate the distance traveled:
Distance traveled = 3 hours x 54 km/h = 162 km
We also know that the distance traveled is equal to 9/14 of the total distance. Let's set up the equation:
Distance traveled = (9/14) x (Total distance)
Now we can solve for the total distance:
Total distance = (Distance traveled) / (9/14) = 162 km / (9/14) = 252 km
So, the person needs to travel a total distance of 252 km.
Next, let's find the speed at which the person should travel to cover the remaining distance in 2 hours. We can set up the following equation:
Distance remaining = (Time remaining) x (Speed)
We know that the time remaining is 2 hours. Let's solve for the speed:
Speed = (Distance remaining) / (Time remaining) = (252 km - 162 km) / 2 hours = 90 km / 2 hours = 45 km/h
Therefore, the person should travel at a speed of 45 km/h to cover the remaining distance in 2 hours.
Summary
To summarize, the person needs to travel a total distance of 252 km. To cover the remaining distance in 2 hours, they should travel at a speed of 45 km/h.Топ вопросов за вчера в категории Математика
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