Question

Расстояние от Риги до Лиепаи равно 240 км. В 9.00 из Лиепаи в Ригу выехал автобус со скоростью 24 км/ч, а в 10.00 из Риги в Лиепаю - второй автобус со скоростью 30 км/ч.1) Встретятся ли автобусы до 13.20? Если вычислите, что не встретятся, то найдите, какое расстояние будет между ними в 13.20.2)Какое расстояние между ними будет в 14.00?3)Какое расстояние между ними будет в 14.30?

Answer 1

X=время прохождения первого автобуса..х-1 время второго автобуса ...Определяем время встречи и вообще встретятся ли до 13-20:::::24*х+30*(х-1)=240 ....24*х+30*х=240+30.....54*х=270....х=270/54=5  .Так что 1)встретятся до 13-20........ответ нет ,потому что встретятся они в 14-00 ..2)расстояние определяем в 14-00.......24*5(умножаем на 5 потому ,что выехал автобус в 9)=120 это прошёл 1й автобус .....30*4=120 /// перепроверили себя точно. расстояние будет =0.....3)в 14-30 по той же аналогии решаем 24*5.5=132 км  ,а для 2-го 30*4.5=135 ,потом (132+135)-240=267-240=27 км между ними

Answer 2

Question 1: Will the buses meet before 13:20? If not, what will be the distance between them at 13:20?

To determine if the buses will meet before 13:20, we need to calculate the time it takes for each bus to travel from their respective starting points to the meeting point.

The distance from Riga to Liepaja is 240 km. The first bus, traveling at a speed of 24 km/h, departs from Liepaja at 9:00. The second bus, traveling at a speed of 30 km/h, departs from Riga at 10:00.

Let's calculate the time it takes for each bus to reach the meeting point:

- The first bus travels for 4 hours (from 9:00 to 13:00) at a speed of 24 km/h, covering a distance of 96 km. - The second bus travels for 3 hours (from 10:00 to 13:00) at a speed of 30 km/h, covering a distance of 90 km.

Therefore, the total distance covered by both buses at 13:00 is 96 km + 90 km = 186 km.

Since the total distance covered by both buses is less than the distance between Riga and Liepaja (240 km), the buses will not meet before 13:20.

To find the distance between the buses at 13:20, we need to calculate the remaining distance each bus has to cover:

- The first bus has to cover 240 km - 96 km = 144 km. - The second bus has to cover 240 km - 90 km = 150 km.

Therefore, at 13:20, the distance between the buses will be the difference between the remaining distances they have to cover, which is 150 km - 144 km = 6 km.

Answer: 1) The buses will not meet before 13:20. The distance between them at 13:20 will be 6 km.

Question 2: What will be the distance between the buses at 14:00?

To find the distance between the buses at 14:00, we need to calculate the remaining distance each bus has to cover:

- The first bus has to cover 240 km - 96 km = 144 km. - The second bus has to cover 240 km - 90 km = 150 km.

Since both buses continue to travel at their respective speeds, the distance between them will remain the same.

Therefore, at 14:00, the distance between the buses will still be 6 km.

Answer: 2) The distance between the buses at 14:00 will be 6 km.

Question 3: What will be the distance between the buses at 14:30?

To find the distance between the buses at 14:30, we need to calculate the remaining distance each bus has to cover:

- The first bus has to cover 240 km - 96 km = 144 km. - The second bus has to cover 240 km - 90 km = 150 km.

Since both buses continue to travel at their respective speeds, the distance between them will remain the same.

Therefore, at 14:30, the distance between the buses will still be 6 km.

Answer: 3) The distance between the buses at 14:30 will be 6 km.