Question

Мотоциклист проехал расстояние от одного города до другого за 3 ч, двигаясь со скоростью 54 км/ч. Сколько времени потребуется мотоциклисту на обратный путь, но уже по другой дороге, если она длиннее первой на 22 км, а его скорость будет меньше прежней на 8 км/ч?

Answer 1

1)54*3=162(КМ) ПО ПЕРВОЙ ДОРОГЕ
2)162+22=184( КМ)ВТОРАЯ ДОРОГА
3)54-8=46(КМ/Ч) ПО 2 ДОРОГЕ
4)184:46=4(Ч)
Ответ: на обратный путь потребуется 4 часа

Answer 2

Problem Analysis

We are given that a motorcyclist traveled a certain distance from one city to another in 3 hours, with a speed of 54 km/h. We need to determine how long it will take the motorcyclist to return on a different road, which is longer by 22 km, and with a reduced speed of 8 km/h.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's break down the problem into steps:

1. Calculate the distance traveled by the motorcyclist on the first road. 2. Calculate the speed of the motorcyclist on the second road. 3. Calculate the time it will take the motorcyclist to return on the second road.

Step 1: Calculate the distance traveled on the first road

The motorcyclist traveled a certain distance from one city to another in 3 hours, with a speed of 54 km/h. We can calculate the distance using the formula: distance = speed * time.

Given: - Speed = 54 km/h - Time = 3 hours

Using the formula, we can calculate the distance traveled on the first road: distance1 = speed * time.

Let's calculate the distance traveled on the first road: distance1 = 54 km/h * 3 hours.

Step 2: Calculate the speed on the second road

The second road is longer by 22 km, and the motorcyclist's speed is reduced by 8 km/h compared to the first road.

Given: - Distance2 = Distance1 + 22 km - Speed2 = Speed1 - 8 km/h

Using the given information, we can calculate the speed on the second road.

Step 3: Calculate the time to return on the second road

To calculate the time it will take the motorcyclist to return on the second road, we can use the formula: time = distance / speed.

Given: - Distance2 = Distance1 + 22 km - Speed2 = Speed1 - 8 km/h

Using the formula, we can calculate the time it will take the motorcyclist to return on the second road: time2 = distance2 / speed2.

Let's substitute the values and calculate the time to return on the second road.

Calculation

Let's perform the calculations:

1. Calculate the distance traveled on the first road: - distance1 = 54 km/h * 3 hours = 162 km.

2. Calculate the speed on the second road: - distance2 = distance1 + 22 km = 162 km + 22 km = 184 km. - speed2 = speed1 - 8 km/h = 54 km/h - 8 km/h = 46 km/h.

3. Calculate the time to return on the second road: - time2 = distance2 / speed2 = 184 km / 46 km/h = 4 hours.

Answer

The motorcyclist will take 4 hours to return on the second road, which is longer by 22 km, and with a reduced speed of 8 km/h.

References

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