MathMaster logo

MathMaster

  1. Home
  2. general
  3. with your 15 meter long vehicle you overtake a vehicle that is just as long you have a safety distance of 30 meters and wa
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?

255

likes
1273 views

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?

Expert avatar
Seamus
4.9
99 Answers
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.

Frequently asked questions (FAQs)
Find the derivative of the function f(x) = ∫(0 to x) (t^2 + 3t) dt.
+
Question: What is the result of factoring the mixed number 3 1/2 multiplied by the real number 4.2?
+
What is the number of ways to arrange 5 people in a line from a group of 10?
+
New questions in Mathematics
-6n+5=-13
5/8 x 64
Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5
Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?
what is 9% of 307
Determine the correct value: A company knows that invoices pending collection have a normal distribution with a mean of $1.65 million, with a standard deviation of $0.2 million, then: The probability that an invoice pending collection has an amount that is within more than 2 deviations below the mean, is:
If L (-2, -5) reflected across y = -4. What are the coordinates of L?
Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]
The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .
Analyze the following situation Juan is starting a new business, he indicates that the price of his product corresponds to p=6000−4x , where x represent the number of tons produced and sold and p It is given in dollars. According to the previous information, what is the maximum income that Juan can obtain with his new product?
4x/2+5x-3/6=7/8-1/4-x
In a order to compare the means of two populations, independent random samples of 410 observations are selected from each population, with Sample 1 the results found in the table to the right. Complete parts a through e below. X1 = 5,319 S1= 143 a. Use a 95% confidence interval to estimate the difference between the population means (H - H2) Interpret the contidence interval. The contidence interval IS (Round to one decimal place as needed.) Sample 2 X2 = 5,285 S2 = 198 Aa. Use a 95% confidence interval to estimate the difference between the population means (A1 - M2) Interpret the contidence interval. The contidence interval Is (Round to one decimal place as needed.) b. Test the null hypothesis Ho versus alternative hypothesis Ha (H What is the test statistic? H2) + Give the significance level of the test, and interpret the result. Use a = 0.05. Z=
3.24 ÷ 82
The question is using rule 72 determine Kari wants to save 10,000 for a down payment on a house. Illustrate the difference in years it will take her to double her current 5,000 savings based on 6%, 12% and 18% interest rate .
The probability of growing a seedling from a seed is 0.62. How many seeds do I need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87?
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
A house located within the city limits has a current market value of $325,000 according to a recent appraisal. The assessed value from the last county wide tax valuation is $272,475. The tax rate is $0.36 per hundred for the county and $0.72 per hundred for the city. What is the total annual property tax liability on the property? $2340 $3510 $1962 $2943
Let I be an interval and let f : I → R be a continuous function such that f(I) ⊂ Q. Show (in symbols) that f is constant.
The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?
5 1/9 + 2 2/3

You might be interested in