Question

Поезд прошёл 275 км за 5 часов, а автобус за такое же время проехал 300 км. На сколько километров в час проезжал автобус больше, сем поезд? Реши задачу двумя различными способами.

Answer 1

L
270:5=54км/ч - скорость поезда
300:5=60км/ч- скорость автобуса
60-54=6км/ч
Ответ: на 6км/ч проезжал автобус больше, чем поезд

Il
Пусть х- скорость автобуса, тогда Х-(270:5) км/ч на столько проехал автобус больше, известно, что автобус прошёл 300км за 5ч, тогда
300:5=60км/ч скорость автобуса, значит
60-(270:5)=60-54=6км/ч
Ответ: на 6км/ч проезжал автобус больше, чем поезд

Answer 2

Problem Analysis

We are given that a train traveled 275 km in 5 hours, and a bus traveled 300 km in the same amount of time. We need to find the difference in speed between the bus and the train.

Method 1: Using Speed Formula

We can use the formula for speed, which is distance divided by time, to find the speed of the train and the bus. Then we can calculate the difference in their speeds.

Let's calculate the speed of the train and the bus using this method.

Method 2: Using Proportions

Another way to solve this problem is by setting up a proportion. We can set up a proportion between the distances traveled by the train and the bus and the time taken.

Let's calculate the speed of the train and the bus using this method as well.

Method 1: Using Speed Formula

To find the speed of the train, we divide the distance traveled by the time taken: Speed of the train = Distance / Time = 275 km / 5 hours = 55 km/h.

To find the speed of the bus, we divide the distance traveled by the time taken: Speed of the bus = Distance / Time = 300 km / 5 hours = 60 km/h.

The difference in speed between the bus and the train is: Difference in speed = Speed of the bus - Speed of the train = 60 km/h - 55 km/h = 5 km/h.

Therefore, the bus traveled 5 km/h faster than the train.

Method 2: Using Proportions

We can set up a proportion between the distances traveled by the train and the bus and the time taken: Train's speed / Bus's speed = Train's distance / Bus's distance.

Let's solve this proportion to find the speed of the train and the bus.

Train's speed / Bus's speed = Train's distance / Bus's distance Train's speed / 60 km/h = 275 km / 300 km Train's speed = (275 km / 300 km) * 60 km/h Train's speed = 55 km/h.

Therefore, the speed of the train is 55 km/h.

To find the speed of the bus, we can use the same proportion: Bus's speed / 60 km/h = 300 km / 300 km Bus's speed = (300 km / 300 km) * 60 km/h Bus's speed = 60 km/h.

Therefore, the speed of the bus is 60 km/h.

The difference in speed between the bus and the train is: Difference in speed = Speed of the bus - Speed of the train = 60 km/h - 55 km/h = 5 km/h.

Therefore, the bus traveled 5 km/h faster than the train.

Conclusion

Both methods yield the same result: the bus traveled 5 km/h faster than the train. The speed of the bus was 60 km/h, while the speed of the train was 55 km/h.