Question

В 8 часов расстояние между двумя катерами, плывущими навстречу друг другу, было 250 км. Скорость катера 25 км в час и 35 км в час. Встретится ли она до 12:00 того же Дня? Через сколько времени произойдёт встреча? (ответ вырази сначала в часах, а затем в часах и минутах.)

Answer 1

Ответ: они встретятся через 4 часа 10 минут

Answer 2

Problem Analysis

We have two boats traveling towards each other, and we need to determine if they will meet before 12:00 on the same day. We are given the distance between the boats and their speeds. We also need to find out how long it will take for them to meet.

Solution

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

Let's calculate the time it will take for each boat to cover the given distance:

- Boat 1: Speed = 25 km/h, Distance = 250 km - Time taken by Boat 1 = 250 km / 25 km/h = 10 hours

- Boat 2: Speed = 35 km/h, Distance = 250 km - Time taken by Boat 2 = 250 km / 35 km/h = 7.14 hours (approximately)

Since the total time taken by both boats is less than 12 hours, they will meet before 12:00 on the same day.

To find out when they will meet, we can subtract the time taken by Boat 2 from 12:00. Let's calculate:

- Time remaining = 12 hours - 7.14 hours = 4.86 hours (approximately)

So, the boats will meet approximately 4.86 hours after they start their journey.

To express this time in hours and minutes, we can convert the decimal part of the time remaining to minutes:

- Decimal part = 0.86 - Minutes = Decimal part * 60 = 0.86 * 60 = 51.6 minutes (approximately)

Therefore, the boats will meet approximately 4 hours and 51 minutes after they start their journey.

Answer

The boats will meet before 12:00 on the same day. The meeting will occur approximately 4 hours and 51 minutes after they start their journey.