Question

До остановки автобус доехал 5/6 ч, а на оставшийся путь он затратил на 1/3 ч. меньше. Сколько времени занял весь маршрут,если на остановке автобус стоял 1/4 ч. Ответ выразите в часах и минутах.

Answer 1

5/6 часа=50 мин
1/3 часа=20 мин
50+20=70 (мин)-путь без привала.
1/4 часа=15 мин
70+15=95 (мин)-весь путь.
Ответ: 1 час 35 мин. 

Answer 2

Problem Analysis

We are given that a bus took 5/6 of an hour to reach a bus stop and then took 1/3 of an hour less to complete the remaining distance. We need to find the total time taken for the entire route, given that the bus stopped at the bus stop for 1/4 of an hour.

Solution

Let's break down the problem step by step:

1. The bus took 5/6 of an hour to reach the bus stop. 2. The bus took 1/3 of an hour less to complete the remaining distance. 3. The bus stopped at the bus stop for 1/4 of an hour.

To find the total time taken for the entire route, we need to add the time taken to reach the bus stop, the time taken to complete the remaining distance, and the time spent at the bus stop.

Let's calculate each of these components:

1. Time taken to reach the bus stop: 5/6 hour. 2. Time taken to complete the remaining distance: 1/3 hour less than the time taken to reach the bus stop. - This means the remaining distance was covered in (5/6 - 1/3) hour. - Simplifying, we get (5/6 - 2/6) hour = 3/6 hour = 1/2 hour. 3. Time spent at the bus stop: 1/4 hour.

Now, let's add these components to find the total time taken for the entire route:

Total time = Time taken to reach the bus stop + Time taken to complete the remaining distance + Time spent at the bus stop = 5/6 hour + 1/2 hour + 1/4 hour

To add these fractions, we need to find a common denominator:

Total time = (5/6 * 4/4) hour + (1/2 * 3/3) hour + 1/4 hour = 20/24 hour + 3/6 hour + 6/24 hour = (20 + 12 + 6)/24 hour = 38/24 hour

Now, let's convert the total time to hours and minutes:

38/24 hour = 1 hour + (14/24) * 60 minutes = 1 hour + 35 minutes

Answer

The entire route took 1 hour and 35 minutes.