Question

Скорость мотоцикла больше скорости велосепедиста на 55км/ч, а отношение их скоростей равно 14:3. а)найдите скорость велосепедиста. б)найдите скорость мотоциклиста PS:6 класс

Answer 1

) скорость велосипедиста х км час
2) скорость мотоцикла  (х+55) км/час
3) составим уравнение:
     (х+55)/х = 14 : 3
     3х+165=14х
     11х=165
     х=15        км/час  скорость велосипедиста
4) 15+55=70(км/час) скорость мотоциклиста

Answer 2

Скорость велосипедиста х км час
скорость мотоцикла  (х+55) км/час
составим уравнение:
     (х+55)/х = 14 : 3
     3х+165=14х
     11х=165
     х=15 км/час  скорость велосипедиста
15+55=70(км/час) скорость мотоциклиста
ответ:15 км/ч скорость велосипедиста,70 км/ч скорость мотоциклиста

Answer 3

Calculation of Bicycle Speed

To find the speed of the cyclist, we can set up a proportion using the given ratio of speeds. Let's denote the speed of the cyclist as x km/h.

The given ratio of speeds is 14:3, which means the speed of the motorcycle is 14 times the speed of the cyclist. Mathematically, we can express this as:

14x = motorcycle speed

Now, we know that the speed of the motorcycle is 55 km/h faster than the speed of the cyclist. So we can write another equation:

14x = x + 55

To solve this equation, we can subtract x from both sides:

14x - x = 55

Simplifying the equation, we get:

13x = 55

Finally, we can solve for x by dividing both sides of the equation by 13:

x = 55 / 13

Evaluating this expression, we find that the speed of the cyclist is approximately 4.23 km/h.

Calculation of Motorcycle Speed

To find the speed of the motorcycle, we can substitute the value of x (the speed of the cyclist) into one of the equations we derived earlier. Let's use the equation 14x = motorcycle speed.

Substituting x = 4.23 km/h, we get:

14 * 4.23 = motorcycle speed

Evaluating this expression, we find that the speed of the motorcycle is approximately 59.22 km/h.

Therefore, the answers to the given questions are: a) The speed of the cyclist is approximately 4.23 km/h. b) The speed of the motorcycle is approximately 59.22 km/h.

Please note that these calculations are based on the information provided and may vary depending on the specific context or additional details.