$MathMaster logo$

MathMaster

Home
general
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 woul

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

$Expert avatar$

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)

Math Question: What is the measure of the central angle subtended by an arc of length 40cm on a circle with a radius of 10cm?

+

What is the distance traveled in kilometers if an object moves at a speed of 50 km/h for a time of 4 hours?

+

Convert 0.64 to percent.

+

New questions in Mathematics

3(4×-1)-2(×+3)=7(×-1)+2

If f(x) = 3x 2, what is the value of x so that f(x) = 11?

what is the annual rate on $525 at 0.046% per day for 3 months?

A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.

According to a survey in a country 27% of adults do not own a credit card suppose a simple random sample of 800 adults is obtained . Describe the sampling distribution of P hat , the sample proportion of adults who do not own a credit card

solve for x 50x+ 120 (176-x)= 17340

The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations. 84. Find the probability that the average price for 30 gas stations is less than $4.55. a 0.6554 b 0.3446 c 0.0142 d 0.9858 e 0

In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24

A circular window has a rubber molding around the edge. If the window has a radius of 250 mm, how long is the piece of molding that is required ? (To the nearest mm)

If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is

Determine a general formula (or formulas) for the solution to the following equation. Then, determine the specific solutions (if any) on the interval [0,2π). cos30=0

Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.

Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?

x(squared) -8x=0