Question

Велогонщик преодолел первый участок пути за 20 1/6 мин., второй – за 35 8/15 мин., третий – на 10 11/30 мин. быстрее, чем первый и второй вместе. За сколько времени велогонщик преодолел третий участок?

Answer 1

Ответ:  45 1/3.

Объяснение:

Велогонщик преодолел первый участок пути за 20 1/6 мин.,

второй – за 35 8/15 мин.,

третий – на 10 11/30 мин. быстрее, чем первый и второй вместе.

1 и 2 вместе =>  20 1/6+35 8/15=> НОК(6;15)=30=>

20 5/30 + 35 16/30 = 55 21/30=55 7/10 минуты.

За сколько времени велогонщик преодолел третий участок?

3 участок 55 7/10-10 11/30 = 55 21/30 - 10 11/30 =

= 45 10/30 = 45 1/3 минуты.

Answer 2

Problem Analysis

We are given the time it took for a cyclist to complete the first, second, and third segments of a route. We are also told that the third segment was completed 10 11/30 minutes faster than the combined time it took to complete the first and second segments. We need to determine the time it took to complete the third segment.

Solution

Let's start by assigning variables to the times it took to complete each segment: - Time for the first segment: 20 1/6 minutes - Time for the second segment: 35 8/15 minutes - Time for the third segment: ?

We are told that the third segment was completed 10 11/30 minutes faster than the combined time it took to complete the first and second segments. Therefore, we can set up the following equation:

Time for the third segment = Combined time for the first and second segments - 10 11/30 minutes

To find the combined time for the first and second segments, we need to add the times for each segment:

Combined time for the first and second segments = Time for the first segment + Time for the second segment

Let's calculate the combined time for the first and second segments:

Combined time for the first and second segments = 20 1/6 minutes + 35 8/15 minutes

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 6 and