A cross country team race is about to begin and team Delta decides to use their one-dimensional kinematics knowledge that they learned from their first year physics course. Each team consists of two people and one horse. The clock is started when the team crosses the starting line with one of the members (let's call her "Ann") riding the horse and the other (we'll call him "Bob") on foot.

The rider will of course leave the walker behind. Ann may tether the horse and continue on foot. When Bob reaches the horse, he mounts it, rides past Ann and tethers the horse further on and continues walking. When Ann reaches the horse, she mounts it and rides past Bob. This alternation of riding/walking continues until the entire team (Ann, Bob and the horse) cross the finish line.

Suppose that Ann walks at a rate of v and Bob (owing to the fact that he has longer legs) walks at a rate of 2.8v. In addition, while Ann is riding the horse, she moves at a rate of 10.4v and Bob (since he is slightly overweight) rides at a rate of 7.1v. (Note also that Bob moves faster on the horse than on foot). Find the fraction of the total race distance that Bob should ride in order to minimize the total race time. Assume that the race is sufficiently long that Ann and Bob can alternate on the horse many times.

  1. 👍 0
  2. 👎 0
  3. 👁 216
  1. Too long.

    1. 👍 0
    2. 👎 0
  2. onobnik

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    A back-to-back stem-and-leaf plot showing the points scored be each player on two different basketball teams is shown below. Team 1 | | Team 2 6 1| 0| 3 7 8 4 2| 1|4 6 8 9 9 6 3| 2|5 7 Key: 4|0|2 means 4 points for Team 1 2points

    asked by Anonymous on April 6, 2015
  2. Math

    In the NFL, a division consists of 4 teams, each of which plays each other team twice. Assume that in any game, either team is equally likely to win (and there are no ties). What is the probability that, at the end of the season,

    asked by Bobby on June 17, 2016
  3. Math

    A swim team consists of 7 boys and 5 girls. A relay of 4 swimmers is chosen at random from the team members. What is the probability that there are 3 boys on the relay team given that there is 1 girl on the relay team. Express

    asked by Hal on April 10, 2018
  4. Math

    The All-Stars softball team needs to purchase new uniform jerseys. The manager uses the inequality d≤750 to determine how much money the team can spend per jersey. Which description correctly interprets the inequality in terms

    asked by Arabella on December 6, 2019
  5. math

    Team Alpha had one fourth as many people as team Beta. After 6 people quit team Beta and 12 people were transferred to team Alpha from team Beta, both teams became equal. How many people were there originally on team Alpha?

    asked by david on July 12, 2017
  1. math

    Two baseball teams are tied for first place at the end of the season. According to tie breaking rules, one of the teams will be designated as "Team X" and the other as "Team Y." Team X will then choose between two scenarios.

    asked by Sarah on June 20, 2019
  2. stats

    Which of the following variables for data about a track team is a discrete variable? C would be the discrete variable?? The height of a team member A The weight of a team member B The number of times that a team member finished

    asked by Anonymous on September 15, 2019
  3. English

    You are writing an essay arguing in favor of more team sports at your school. Which statement would NOT be a strong reason in support of your argument? A) Team sports are fun. B) Team sports help develop good character in all

    asked by April lanneau on March 11, 2019
  4. AIG 4th Grade Math

    Nellie's soccer team is having a great season. The team is being coached by Nellie's mom, who divided the team into five groups: 1/2 the players are forwards, 1/6 are wings, 1/6 are halfbacks, 1/12 are fullbacks, and 2 others are

    asked by Penny on January 19, 2010
  5. Math

    A minor league baseball team plays 78 games in a season. If the team won 15 more than twice as many games as they​ lost, how many wins and losses did the team​ have?

    asked by P on August 31, 2016
  6. math

    A minor league baseball team plays 74 games in a season. If the team won 14 more than twice as many games as they lost, how many wins and losses did the team have?

    asked by Bryan on November 11, 2008

You can view more similar questions or ask a new question.