Question

Из двух городов расположен на одном шоссе одновременно в одном направлении выехали два автобуса скорость первого автобуса 50 километров час 2 70 3g Через какое время Второй автобус догонит первого автобуса если расстояние между городами равно 45 км

Answer 1

Problem Analysis

We have two buses traveling in the same direction on a highway. The first bus has a speed of 50 kilometers per hour, and the distance between the two cities is 45 kilometers. We need to determine how long it will take for the second bus to catch up to the first bus.

Solution

To solve this problem, we need to calculate the time it takes for the second bus to cover the same distance as the first bus. We can use the formula:

Time = Distance / Speed

Let's calculate the time it takes for the first bus to cover the distance between the two cities:

Time for the first bus = Distance / Speed = 45 km / 50 km/h

Now, let's calculate the time it takes for the second bus to cover the same distance. Since the second bus is catching up to the first bus, its effective speed will be the difference between the speeds of the two buses:

Effective speed of the second bus = Speed of the second bus - Speed of the first bus = 70 km/h - 50 km/h

Time for the second bus = Distance / Effective speed = 45 km / (70 km/h - 50 km/h)

Now, let's calculate the time it takes for the second bus to catch up to the first bus:

Time for the second bus to catch up = Time for the second bus - Time for the first bus

Calculation

Let's plug in the values and calculate the time it takes for the second bus to catch up to the first bus:

Time for the first bus = 45 km / 50 km/h = 0.9 hours

Effective speed of the second bus = 70 km/h - 50 km/h = 20 km/h

Time for the second bus = 45 km / 20 km/h = 2.25 hours

Time for the second bus to catch up = 2.25 hours - 0.9 hours = 1.35 hours

Answer

The second bus will catch up to the first bus in approximately 1.35 hours.

Please note that the above calculation assumes constant speeds for both buses and does not take into account any stops or variations in speed during the journey.