
5. З двох міст, відстань між якими 288 км, назустріч один одному виїхали велосипедист і
мотоцикліст. Швидкість велосипедиста дорівнює 16 км/год, а швидкість мотоцикліста становить 350 % швидкості велосипедиста. Через скільки годин вони зустрінуться?

Ответы на вопрос

1)16·350:100 = 56 км / год - швидкість мотоцикліста
2) 56+16= 72 км/год - швидкість зближення
3) 288:72 = 4 год
Відповідь: вони зустрінуться за 4 години.ове пояснення:
вот надеюсь правильно решила



Problem Analysis
We are given that a cyclist and a motorcyclist are traveling towards each other from two different cities that are 288 km apart. The cyclist's speed is 16 km/h, while the motorcyclist's speed is 350% of the cyclist's speed. We need to determine how many hours it will take for them to meet.Solution
To solve this problem, we can use the formula: time = distance / speed. We will calculate the time it takes for both the cyclist and the motorcyclist to travel the distance between the cities, and then find the time it takes for them to meet by adding their individual times.Let's calculate the time it takes for the cyclist to travel the distance between the cities: - Distance = 288 km - Speed of the cyclist = 16 km/h - Time taken by the cyclist = Distance / Speed of the cyclist
Using the formula, we can calculate the time taken by the cyclist: Time taken by the cyclist = 288 km / 16 km/h
Now, let's calculate the time it takes for the motorcyclist to travel the distance between the cities: - Speed of the motorcyclist = 350% of the cyclist's speed = 350/100 * 16 km/h - Time taken by the motorcyclist = Distance / Speed of the motorcyclist
Using the formula, we can calculate the time taken by the motorcyclist: Time taken by the motorcyclist = 288 km / (350/100 * 16 km/h)
Finally, we can find the time it takes for them to meet by adding their individual times: Total time = Time taken by the cyclist + Time taken by the motorcyclist
Let's calculate the values:
Calculation
- Time taken by the cyclist = 288 km / 16 km/h = 18 hours - Time taken by the motorcyclist = 288 km / (350/100 * 16 km/h) = 288 km / 56 km/h = 5.142857142857143 hours (rounded to 6 decimal places) - Total time = 18 hours + 5.142857142857143 hours = 23.142857142857143 hours (rounded to 6 decimal places)Answer
The cyclist and the motorcyclist will meet after approximately 23.143 hours.[[1]]


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