Question

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

Answer 1

Ответ 4 часа мотоциклист. ехал

Answer 2

54*3=162км от одного города до другого
162+22=184км обратный путь 
54-8=46км/ч скорость обратно 
184:46=4ч потребуется 

Answer 3

Problem Analysis

To solve this problem, we need to calculate the time it will take for the motorcyclist to travel back from the second city to the first city using a different road. We are given the following information: - The motorcyclist traveled from the first city to the second city in 3 hours at a speed of 54 km/h. - The second road is 22 km longer than the first road. - The motorcyclist will be traveling at a speed that is 8 km/h slower on the second road.

Calculation

To find the time it will take for the motorcyclist to travel back on the second road, we can use the formula:

Time = Distance / Speed

Let's calculate the time for the first road and the second road separately.

For the first road: - Distance = Distance between the two cities - Speed = 54 km/h

For the second road: - Distance = Distance between the two cities + 22 km (since the second road is 22 km longer) - Speed = Speed on the first road - 8 km/h (since the speed is 8 km/h slower on the second road)

Let's calculate the time for each road.

Calculation for the First Road

The distance between the two cities is not provided in the question. We'll assume it as 'd' km.

Time for the first road = d km / 54 km/h

Calculation for the Second Road

The distance for the second road is the distance between the two cities plus 22 km.

Distance for the second road = d km + 22 km

The speed for the second road is 8 km/h slower than the speed on the first road.

Speed for the second road = 54 km/h - 8 km/h

Time for the second road = (d km + 22 km) / (54 km/h - 8 km/h)

Total Time for the Return Trip

To find the total time for the return trip, we need to add the time for the first road and the time for the second road.

Total time = Time for the first road + Time for the second road

Let's substitute the values and calculate the total time.

Calculation Example

Let's assume the distance between the two cities is 100 km.

For the first road: - Distance = 100 km - Speed = 54 km/h - Time for the first road = 100 km / 54 km/h = 1.85 hours

For the second road: - Distance = 100 km + 22 km = 122 km - Speed = 54 km/h - 8 km/h = 46 km/h - Time for the second road = 122 km / 46 km/h = 2.65 hours

Total time for the return trip = 1.85 hours + 2.65 hours = 4.5 hours

Answer

If the distance between the two cities is 100 km, it will take the motorcyclist approximately 4.5 hours to travel back on the second road, assuming a speed of 54 km/h on the first road and a speed of 46 km/h on the second road.

Please note that the actual time will vary depending on the distance between the two cities and the specific speeds mentioned in the question.

Let me know if there's anything else I can help you with!