Question

Петр Петрович поехал на велосипеде в гости со скоростью 15км в час, а его жена Варвара побежала вперед и спряталась в кустах. Она хотела выскочить вдруг на дорогу и в шутку напугать своего любимого мужа. Петр Петрович проехал на своем велосипеде 2 часа и упал, проехал еще час и опять упал, потом еще час и снова упал. И все три раза - в лужи. Через час после третьего падения Петр Петровичдоехал наконец до своей спрятавшейся жены. Жена с жутким воем выскочила из кустов, но, увидев вывалявшегося в трех лужах мужа, так сама испугалась, что помчалась домой и добежала туда за 60 минут. Узнай, с какой скоростью мчалась домой испуганная жена Петра Петровича.

Answer 1

Условия прелесть!)))
В условии не сказано, что он падал и какое-то время валялся в лужах, поэтому время простоя учитывать не будем.
60 минут = 1 час

1) 2+1+1+1=5 часов ехал Петрович
2) 5 * 15 = 75 км - проехал Петрович за 5 часов
3) 75 : 1 = 75 км/ч - скорость, с которой бедная жена пробежала обратный путь

Answer 2

Problem Analysis

In this problem, Peter Petrovich is riding his bicycle to visit his wife, Varvara, who has hidden in the bushes to surprise him. Peter Petrovich falls into three puddles during his journey. After the third fall, Varvara gets scared and runs home, reaching there in 60 minutes. We need to determine the speed at which Varvara ran home.

Solution

To find the speed at which Varvara ran home, we need to calculate the distance she covered and the time it took her to reach home.

Let's break down the problem step by step:

1. Peter Petrovich rides his bicycle for 2 hours and falls into a puddle. 2. He rides for another hour and falls into a puddle again. 3. He rides for another hour and falls into a puddle for the third time. 4. After the third fall, Peter Petrovich reaches Varvara, who gets scared and runs home. 5. Varvara reaches home in 60 minutes.

To find the distance Varvara covered, we need to calculate the total time Peter Petrovich spent riding his bicycle. Since he rode for 2 hours, then another hour, and finally another hour, the total time he spent riding is 4 hours.

Now, let's calculate the distance Varvara covered using the formula:

Distance = Speed × Time

We know the time is 60 minutes, which is equal to 1 hour. So, the distance Varvara covered is equal to the speed at which she ran.

Now, let's calculate the speed at which Varvara ran:

Speed = Distance / Time

Substituting the values, we have:

Speed = Distance / 1 hour

Since the distance is equal to the total time Peter Petrovich spent riding his bicycle, which is 4 hours, we have:

Speed = 4 hours / 1 hour

Simplifying, we find:

Speed = 4

Therefore, the speed at which Varvara ran home is 4.

Answer

The speed at which Varvara ran home, frightened by Peter Petrovich's falls, is 4.