Question

Растояние от Риги до Вентспилса 190км .Из двух городов навстречу друг другу со скоростью 70км ч и 80км ч выехали два автобуса .Медленный автобус вскоре после выезда из Вентспилса остановился на 30мин .После этого продолжил путь.Сколько времеи и сколько км от Риги автобусы встретятся?

Answer 1

Вот щас думаю не знаю даже

Answer 2

Problem Analysis

We are given that the distance between Riga and Ventspils is 190 km. Two buses start from each city towards each other, with speeds of 70 km/h and 80 km/h. The slower bus stops for 30 minutes after leaving Ventspils and then continues its journey. We need to determine how much time and how many kilometers the buses will meet.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it takes for each bus to travel to the meeting point.

The slower bus travels at a speed of 70 km/h, so the time it takes to travel from Ventspils to the meeting point is: time_slow_bus = distance / speed_slow_bus = 190 km / 70 km/h.

The faster bus travels at a speed of 80 km/h, so the time it takes to travel from Riga to the meeting point is: time_fast_bus = distance / speed_fast_bus = 190 km / 80 km/h.

Now, let's calculate the time it takes for the slower bus to reach the meeting point after the 30-minute stop. We need to add 30 minutes (0.5 hours) to the time it takes for the slower bus to travel from Ventspils to the meeting point: time_slow_bus += 0.5 hours.

Finally, let's calculate the total time it takes for the buses to meet: total_time = time_slow_bus + time_fast_bus.

To find the distance traveled by each bus when they meet, we can use the formula: distance = speed * time.

The distance traveled by the slower bus when they meet is: distance_slow_bus = speed_slow_bus * time_slow_bus.

The distance traveled by the faster bus when they meet is: distance_fast_bus = speed_fast_bus * time_fast_bus.

Now we have all the information needed to answer the question.

Calculation

Let's calculate the values using the given information:

- Distance from Riga to Ventspils: 190 km - Speed of slower bus: 70 km/h - Speed of faster bus: 80 km/h - Time for slower bus to reach meeting point: time_slow_bus = 190 km / 70 km/h - Time for faster bus to reach meeting point: time_fast_bus = 190 km / 80 km/h - Time for slower bus after the 30-minute stop: time_slow_bus += 0.5 hours - Total time for the buses to meet: total_time = time_slow_bus + time_fast_bus - Distance traveled by slower bus when they meet: distance_slow_bus = speed_slow_bus * time_slow_bus - Distance traveled by faster bus when they meet: distance_fast_bus = speed_fast_bus * time_fast_bus

Let's calculate these values:

time_slow_bus = 190 km / 70 km/h = 2.714 hours (rounded to 3 decimal places)

time_fast_bus = 190 km / 80 km/h = 2.375 hours (rounded to 3 decimal places)

time_slow_bus += 0.5 hours = 2.714 hours + 0.5 hours = 3.214 hours (rounded to 3 decimal places)

total_time = 3.214 hours + 2.375 hours = 5.589 hours (rounded to 3 decimal places)

distance_slow_bus = 70 km/h * 3.214 hours = 225 km (rounded to the nearest whole number)

distance_fast_bus = 80 km/h * 2.375 hours = 190 km (rounded to the nearest whole number)

Therefore, the buses will meet after approximately 5.589 hours and the slower bus will have traveled approximately 225 km from Riga.

Please note that the calculations are rounded to the nearest whole number for simplicity.

Answer

The buses will meet after approximately 5.589 hours and the slower bus will have traveled approximately 225 km from Riga.

Let me know if there's anything else I can help#### Problem Analysis We are given that the distance between Riga and Ventspils is 190 km. Two buses start from each city towards each other, with speeds of 70 km/h and 80 km/h. The slower bus stops for 30 minutes after leaving Ventspils and then continues its journey. We need to determine how much time and how many kilometers the buses will meet.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it takes for each bus to travel the distance between Riga and Ventspils:

- The slower bus travels at a speed of 70 km/h, so the time it takes to travel the distance of 190 km is: time = 190 km / 70 km/h. - The faster bus travels at a speed of 80 km/h, so the time it takes to travel the distance of 190 km is: time = 190 km / 80 km/h.

Now, let's calculate the time it takes for the slower bus to reach the meeting point after it resumes its journey:

- The slower bus stopped for 30 minutes, which is equivalent to 0.5 hours. So, the time it takes for the slower bus to reach the meeting point after resuming its journey is: time = time taken to travel 190 km - 0.5 hours.

To find the distance at which the buses will meet, we can use the formula: distance = speed * time.

Let's calculate the time and distance at which the buses will meet:

- The time at which the buses will meet is the minimum of the two times calculated above. - The distance at which the buses will meet is the product of the speed at which the faster bus is traveling and the time at which the buses will meet.

Calculation

Let's calculate the time and distance at which the buses will meet:

- Time taken by the slower bus to travel 190 km: 190 km / 70 km/h = 2.71 hours. - Time taken by the faster bus to travel 190 km: 190 km / 80 km/h = 2.38 hours. - Time taken by the slower bus to reach the meeting point after resuming its journey: 2.71 hours - 0.5 hours = 2.21 hours. - Time at which the buses will meet: minimum(2.38 hours, 2.21 hours) = 2.21 hours. - Distance at which the buses will meet: 80 km/h * 2.21 hours = 176.8 km.

Answer

The buses will meet approximately 2.21 hours after the slower bus resumes its journey, at a distance of approximately 176.8 km from Riga.

Please note that these calculations are based on the given information and assumptions made.