Question

Помогите пожалуйста Расстояние от города до деревни 30 км. Старик Хоттабыч на ослике проезжает за 3 часа 45 минут, Волька на велосипеде проезжает за 2.5 часа. Верны ли утверждения, что: а) Скорость Хоттабыча = 9км/ч в) Скорость Вольки на 50% больше скорости Хоттабыча с) Если из города поедет Хоттабыч, а через 1 ч 10 мин вслед за ним отправится Волька, то первым из них в деревню приедет Хоттабыч.

Answer 1

1) Нет . Скорость Хоттабыча равна : 30/3.75=8 км/час
2) Нет. Скорость Вольки равна 12 км/час. 8 от 12 не 50 %!

Answer 2

A)Да
в)Нет
с)Первым в деревню приедет Волька, так как Хотабычу нужно еще 5 минут что бы добратся первым до деревни

Answer 3

Problem Analysis

To answer the given questions, we need to calculate the speeds of Hottabych and Volka and determine who will arrive first in the village if Hottabych leaves the city first and Volka follows after 1 hour and 10 minutes.

Calculation of Speeds

Given: - Distance from the city to the village: 30 km - Hottabych's travel time: 3 hours 45 minutes = 3.75 hours - Volka's travel time: 2.5 hours

To calculate the speeds, we can use the formula: Speed = Distance / Time.

Let's calculate the speeds of Hottabych and Volka.

Calculation of Hottabych's Speed

Hottabych's speed can be calculated as follows: Speed of Hottabych = Distance / Hottabych's travel time

Substituting the given values: Speed of Hottabych = 30 km / 3.75 hours

Calculating the speed: Speed of Hottabych = 8 km/h [[1]].

Calculation of Volka's Speed

Volka's speed can be calculated as follows: Speed of Volka = Distance / Volka's travel time

Substituting the given values: Speed of Volka = 30 km / 2.5 hours

Calculating the speed: Speed of Volka = 12 km/h [[1]].

Verifying the Statements

Now, let's verify the given statements.

a) Is Hottabych's speed 9 km/h? No, the calculated speed of Hottabych is 8 km/h, not 9 km/h.

b) Is Volka's speed 50% greater than Hottabych's speed? No, the calculated speed of Volka is 12 km/h, which is not 50% greater than Hottabych's speed of 8 km/h.

c) Who will arrive first in the village if Hottabych leaves the city first and Volka follows after 1 hour and 10 minutes? To determine who will arrive first, we need to compare their travel times. Hottabych's travel time is 3.75 hours, and Volka's travel time is 2.5 hours.

Since Volka starts 1 hour and 10 minutes (1.17 hours) after Hottabych, we need to subtract this time from Hottabych's travel time to compare their arrival times.

Adjusted travel time for Hottabych = Hottabych's travel time - Time delay for Volka Adjusted travel time for Hottabych = 3.75 hours - 1.17 hours

Calculating the adjusted travel time for Hottabych: Adjusted travel time for Hottabych = 2.58 hours

Comparing the adjusted travel times, we can conclude that Hottabych will arrive first in the village.

Summary

To summarize: - Hottabych's speed is 8 km/h, not 9 km/h. - Volka's speed is 12 km/h, which is not 50% greater than Hottabych's speed. - If Hottabych leaves the city first and Volka follows after 1 hour and 10 minutes, Hottabych will arrive first in the village.

Please let me know if you need any further assistance!