Составь выражения.велосипедист догоняет пешехода.сейчас между ними n км.скорость велосипедиста x
м/мин,а скорость пешехода y м/мин (x больше y).а)на каком растоянии от пешехода будет велосипедист через 5 мин после начала движения? Б)через какое время велосипедист догонит пешехода?Ответы на вопрос
Problem Statement
We have a situation where a cyclist is trying to catch up to a pedestrian. The initial distance between them is n kilometers. The cyclist's speed is x meters per minute, and the pedestrian's speed is y meters per minute, where x > y. We need to find: a) The distance between the cyclist and the pedestrian after 5 minutes of starting their movement. b) The time it takes for the cyclist to catch up to the pedestrian.Solution
Let's solve each part of the problem step by step.a) To find the distance between the cyclist and the pedestrian after 5 minutes, we need to calculate how far each of them has traveled in that time.
The cyclist's distance traveled in 5 minutes can be calculated using the formula: distance = speed * time. Therefore, the distance traveled by the cyclist is x * 5 meters.
Since the cyclist is trying to catch up to the pedestrian, the distance between them will decrease by the distance traveled by the cyclist. Therefore, the distance between the cyclist and the pedestrian after 5 minutes will be n - (x * 5) kilometers.
b) To find the time it takes for the cyclist to catch up to the pedestrian, we need to calculate the time it takes for the cyclist to cover the initial distance between them.
The time it takes for the cyclist to cover the initial distance can be calculated using the formula: time = distance / speed. Therefore, the time it takes for the cyclist to catch up to the pedestrian is n / (x - y) minutes.
Answer
a) The distance between the cyclist and the pedestrian after 5 minutes of starting their movement will be n - (x * 5) kilometers.b) The time it takes for the cyclist to catch up to the pedestrian is n / (x - y) minutes.
Please note that the above calculations assume constant speeds for both the cyclist and the pedestrian.
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