Question

автобус проходит расстояние между конечными станциями своего маршрута за 1 1/2 часа. если его скорость увеличить на 5 км/ч то это же расстояние он пройдет на 15 минут быстрее. каково расстояние между конечными станциями маршрута?

Answer 1

Пусть х км/ч - первоначальная скороть автобуса, тогда увеличенная скорость автобуса составляет (х+5) км/ч. За Весь путь равен 1,5х км, или 1,25(х+5) км. Составим и решим уравнение:

1,5х = 1,25(х+5)

1,5х = 1,25х+6,25

0,25х = 6,25

х = 25

Значит, скорость автобуса 25 км/ч, тогда весь путь 25*1,5 = 37,5 км

Ответ: 37,5 км

 

 

 

Answer 2

Calculation of the Distance Between the Bus Stations

To calculate the distance between the bus stations, we can use the formula:

Distance = Speed × Time

Let's denote the original speed of the bus as S km/h and the original time taken to travel the distance between the bus stations as T hours.

According to the given information, the bus takes 1 1/2 hours (or 1.5 hours) to travel the distance between the bus stations at its original speed.

So, we have the equation:

Distance = S × T ----(1)

Now, let's consider the situation where the speed of the bus is increased by 5 km/h. The new speed of the bus is S + 5 km/h.

According to the given information, when the speed of the bus is increased by 5 km/h, it takes 15 minutes (or 0.25 hours) less time to travel the same distance between the bus stations.

So, the new time taken to travel the distance between the bus stations is T - 0.25 hours.

Using the formula again, we have:

Distance = (S + 5) × (T - 0.25) ----(2)

Now, we can solve the system of equations (1) and (2) to find the values of S and T.

Let's proceed with the calculations.