Question

В 12ч 20мин от пристани отошла моторная лодка. В 16ч 20мин в этом же направлении отчалил теплоход. Сможет ли теплоход догнать моторную лодку, если ее скорость 15км/ч, а скорость теплохода 30км/ч? Через какое время теплоход догонит моторную лодку?

Answer 1

16ч20мин - 12ч20мин=4 часа разница

4*15=60км расстояние между катером и теплоходом в 16ч20мин.

30-15=15км/ч это скорость сближения

60/15=4часа

 

ОТВЕТ: ДА, СМОЖЕТ; ЗА 4ЧАСА

Answer 2

Problem Analysis

We are given the departure times of a motorboat and a steamboat from the same dock. We need to determine if the steamboat can catch up to the motorboat and, if so, how long it will take.

Given Information

- Departure time of the motorboat: 12:20 - Departure time of the steamboat: 16:20 - Speed of the motorboat: 15 km/h - Speed of the steamboat: 30 km/h

Solution

To determine if the steamboat can catch up to the motorboat, we need to compare their distances traveled over the same time period. Since the steamboat departs later, we can calculate the time difference between their departures and use it to compare their distances.

Let's calculate the time difference between the departures of the motorboat and the steamboat:

- Departure time of the motorboat: 12:20 - Departure time of the steamboat: 16:20

The time difference is 4 hours.

Now, let's calculate the distance traveled by each boat during this time:

- Distance traveled by the motorboat: 15 km/h * 4 h = 60 km - Distance traveled by the steamboat: 30 km/h * 4 h = 120 km

Since the steamboat has traveled a greater distance than the motorboat during the 4-hour time difference, we can conclude that the steamboat has caught up to the motorboat.

To determine the time it took for the steamboat to catch up to the motorboat, we can calculate the additional time it took for the steamboat to cover the initial distance of 60 km:

- Additional time = Distance / Speed = 60 km / 30 km/h = 2 hours

Therefore, the steamboat took an additional 2 hours to catch up to the motorboat.

Answer

The steamboat can catch up to the motorboat, and it takes an additional 2 hours for the steamboat to catch up to the motorboat.