Question

Помогите пожалуйсто решить задачу!!!Автобус ехал 3 ч. со скоростью 54 км./ч. Оказалось,что он проехал 9/14 всего пути.Сколько всего км. он должен проехать?С какой скоростью надо ехать автобусу,что бы преодолеть оставшееся расстояние за 2 ч?

Answer 1

54*3=162км проехал за 3 часа
162:9*14=252км весь путь
252-162=90км должен проехать еще
90:2=45км/ч должна быть скорость автобуса

Answer 2

Problem Analysis

To solve this problem, we need to find the total distance the bus should travel and the speed it needs to maintain to cover the remaining distance in 2 hours. We are given that the bus traveled for 3 hours at a speed of 54 km/h and covered 9/14 of the total distance.

Calculating the Total Distance

Let's assume the total distance the bus needs to travel is D km. We know that the bus traveled for 3 hours at a speed of 54 km/h, which means it covered a distance of 54 km/h * 3 h = 162 km. We are also given that this distance is 9/14 of the total distance. Therefore, we can set up the following equation:

162 km = (9/14) * D

To find the value of D, we can rearrange the equation:

D = (162 km * 14) / 9

Let's calculate the value of D:

D = (162 km * 14) / 9 = 252 km

So, the total distance the bus needs to travel is 252 km.

Calculating the Required Speed

Now, we need to find the speed at which the bus needs to travel to cover the remaining distance in 2 hours. Let's assume this speed is S km/h. We know that the remaining distance is D - 162 km (the distance already covered by the bus). We want to cover this remaining distance in 2 hours. Therefore, we can set up the following equation:

(D - 162 km) = S km/h * 2 h

To find the value of S, we can rearrange the equation:

S = (D - 162 km) / 2

Let's calculate the value of S:

S = (252 km - 162 km) / 2 = 90 km / 2 = 45 km/h

So, the bus needs to travel at a speed of 45 km/h to cover the remaining distance in 2 hours.

Answer

The bus needs to travel a total distance of 252 km. To cover the remaining distance in 2 hours, it needs to maintain a speed of 45 km/h.

Please let me know if you need any further assistance!