Question

If the cheetah made a round trip and took half the amount of time on the return trip as on the front end of trip what would be the relationship between the average rates on each leg of the trip

285

likes

1427 views

Answer to a math question If the cheetah made a round trip and took half the amount of time on the return trip as on the front end of trip what would be the relationship between the average rates on each leg of the trip

$Expert avatar$

Santino

4.5

112 Answers

\text{1. Define variables for average speeds:}

v_f \text{ for the front trip and } v_r \text{ for the return trip.}

\text{2. Given that the return trip took half the time of the front trip:}

t_r = \frac{t_f}{2}

\text{3. Use the relationship between distance, speed, and time:}

d = v_f \cdot t_f \quad \text{(front trip)}

d = v_r \cdot t_r \quad \text{(return trip)}

\text{4. Since the distances are equal:}

v_f \cdot t_f = v_r \cdot \frac{t_f}{2}

\text{5. Simplify to find the relationship between the speeds:}

v_f = \frac{v_r}{2} \Rightarrow v_r = 2v_f

\text{6. Therefore, the average speed on the return trip is twice the average speed on the front trip:}

v_r = 2v_f

Frequently asked questions (FAQs)

Fermat's Theorem states that for any prime number p, and any positive integer n, the equation x^n + y^n = z^n has no integer solutions. Math question: Does there exist any solution to the equation x^3 + y^3 = z^3, where x, y, and z are positive integers?

Question: In a linear function f(x) = x, if the value of x is 5, what is the corresponding value of f(x)?

What is the sum of the first 10 terms of the arithmetic sequence 2, 5, 8, ...?

New questions in Mathematics

A particular employee arrives at work sometime between 8:00 a.m. and 8:40 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:40 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:30 a.m. Round your answer to four decimal places, if necessary.

Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps

Solution of the equation y'' - y' -6y = 0

a ferry travels 1/6 of the distance between two ports in 3/7 hour. the ferry travels at a constant rate. at this rate, what fraction of the distance between the two ports can the ferry travel in one hour?

A college believes that 22% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 5 percentage points?

5 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight

3(4x-1)-2(x+3)=7(x-1)+2

1 plus 1

Determine the momentum of a 20 kg body traveling at 20 m/s.