Question

Мотоциклист проехал 510 км за 4 часа 30 минут . Часть пути S1 он ехал со скоростью 140 км/ч , а часть S2 - со скоростью 110 км/ч. Какая часть пути S1 или S2 длинее и насколько

Answer 1

4 часа 30 мин = 4,5 часа 
S1 = x ( км ) 
S2 = ( 510 - x ) км 
Уравнение
( X / 140 ) + ( ( 510 - x ) / 110 ) = 4,5 
общий знаменатель 1540
 11Х + 14( 510 - Х ) = 4,5 * 1540
11X + 7140 - 14X = 6930 
- 3X = - 210 
X = 70 ( км ) S1 
510 - 70 = 440 ( км ) S2
S2 - S1 = 440 - 70 = 370 ( км )
Ответ вторая часть пути длиннее первой на 370 км 

Answer 2

Problem Analysis

We are given that a motorcyclist traveled a total distance of 510 km in 4 hours and 30 minutes. The motorcyclist traveled part of the distance, S1, at a speed of 140 km/h, and the remaining part, S2, at a speed of 110 km/h. We need to determine which part, S1 or S2, is longer and by how much.

Solution

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

Let's first convert the given time of 4 hours and 30 minutes into hours. Since there are 60 minutes in an hour, 30 minutes is equal to 0.5 hours. Therefore, the total time is 4 + 0.5 = 4.5 hours.

Now, let's calculate the distance traveled at each speed.

The distance traveled at a speed of 140 km/h (S1) can be calculated as: S1 = speed × time = 140 km/h × 4.5 hours.

The distance traveled at a speed of 110 km/h (S2) can be calculated as: S2 = speed × time = 110 km/h × 4.5 hours.

To determine which part, S1 or S2, is longer, we compare their distances. If S1 is greater than S2, then S1 is longer. If S2 is greater than S1, then S2 is longer. If S1 is equal to S2, then both parts are of equal length.

Let's calculate the distances and determine which part is longer.

Calculation

Using the given values, we can calculate the distances as follows:

S1 = 140 km/h × 4.5 hours = 630 km S2 = 110 km/h × 4.5 hours = 495 km

Answer

The distance traveled at a speed of 140 km/h (S1) is 630 km, and the distance traveled at a speed of 110 km/h (S2) is 495 km.

Comparing the distances, we can see that S1 is longer than S2 by 630 km - 495 km = 135 km.

Therefore, S1 is longer than S2 by 135 km.

Please let me know if you need any further assistance.