With your 15 meter long vehicle you overtake a vehicle that is just as long. You have a safety distance of 30 meters and want to cut back in 30 meters in front of the vehicle. You are driving at 80 km/h and the vehicle you are overtaking is traveling at 79 km/h. Approximately how long does it take you to overtake?

Name: Solved: With your 15 meter long vehicle you overtake a vehicle that is just as long. You have a safety distance of 30 meters and want to cut back in 30 meters in front of the vehicle. You are driving at 80 km/h and the vehicle you are overtaking is traveling at 79 km/h. Approximately how long does it take you to overtake? - MathMaster
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Answer to a math question With your 15 meter long vehicle you overtake a vehicle that is just as long. You have a safety distance of 30 meters and want to cut back in 30 meters in front of the vehicle. You are driving at 80 km/h and the vehicle you are overtaking is traveling at 79 km/h. Approximately how long does it take you to overtake?

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Seamus

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Um die Zeit zu berechnen, die Sie zum Überholen des Fahrzeugs benötigen, müssen wir die Relativgeschwindigkeit zwischen den beiden Fahrzeugen berücksichtigen. Die relative Geschwindigkeit zwischen Ihrem Fahrzeug und dem Fahrzeug, das Sie überholen, ist die Differenz zwischen Ihren Geschwindigkeiten: Relative Geschwindigkeit = Ihre Geschwindigkeit – Geschwindigkeit des überholten Fahrzeugs Relative Geschwindigkeit = (80 km/h) - (79 km/h) = 1 km/h Lassen Sie uns zunächst diese relative Geschwindigkeit in Meter pro Stunde umrechnen, da unsere Entfernungen in Metern angegeben sind: 1 km/h = (1 km/h) * (1000 m/km) = 1000 m/h Die relative Geschwindigkeit beträgt also 1000 Meter pro Stunde. Um herauszufinden, wie lange das Überholen dauert, müssen wir die Distanz berechnen, die Sie zurücklegen müssen, um das Fahrzeug zu überholen: Zurückzulegende Distanz = Länge des überholten Fahrzeugs + Sicherheitsabstand Zurückzulegende Distanz = 15 Meter + 30 Meter = 45 Meter Nun berechnen wir, wie viele Stunden man braucht, um 45 Meter bei einer relativen Geschwindigkeit von 1000 Metern pro Stunde zurückzulegen: Zeit = Distanz / Geschwindigkeit Zeit = 45 Meter / 1000 Meter pro Stunde Zeit = 0,045 Stunden Abschließend konvertieren wir diese Zeit von Stunden in Sekunden (da dies aus praktischen Gründen praktischer ist): 0,045 Stunden * (3600 Sekunden / 1 Stunde) = 162 Sekunden Das Überholen des Fahrzeugs dauert also etwa 162 Sekunden.

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