$MathMaster logo$

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

93 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)

Question: Solve the inequality 2x - 5 > 7.

+

What is the degree measurement of π radians?

+

What is 3/4 as a decimal, and as a percentage?

+

New questions in Mathematics

Write 32/25 as a percent

Evaluate limx→∞tan−1(x) using that y=tan−1(x) exactly when x=tan(y) . (Hint: Both tan and tan−1 are continuous!)

The Lenovo company manufactures laptop computers, it is known that for every 60 laptops produced, 54 go on the market with the highest quality standards. If a sample of 15 laptops is taken, calculate the probability that: Exactly 2 are not of high quality

4.2x10^_6 convert to standard notation

The sum of two numbers is 6, and the sum of their squares is 28. Find these numbers exactly

Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.

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

If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?

-3(-4x+5)=-6(7x-8)+9-10x

find x in the equation 2x-4=6

A box contains 18 blue balls and 33 white balls. What is the ratio of the blue to white balls?

Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}

Which of the methods below can be used to workout 95% of an amount? a. Dividing the amount 100 and multiply by 95 b. Working out 5% of the amount and taking it away from the full amount c. Dividing 95 by 100 and multiplying the answer by the amount d. Dividing the amount by 95 and then multiply by 100

Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.

A salesperson earns a base salary of $600 per month plus a commission of 10% of the sales she makes. You discover that on average, it takes you an hour and a half to make $100 worth of sales. How many hours will you have to work on average each month for your income to be $2000?

A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?

An export company grants a bonus of $100,000 pesos to distribute among three of its best employees, so that the first receives double the second and the latter receives triple the third. How much did each person receive?

The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/s². Is the child hit by the car or not? How far from the traffic light does the car stop?