Results 1 to 5 of 5

Math Help - Alegebra/Trig Word Problem

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    2

    Alegebra/Trig Word Problem

    While Steve and LeRoy were fishing 1 mile from shore, their boat springs a leak and water comes in a constant rate of 10 gallons per minute.
    The boat will sink if it takes in more than 30 gallons of water. Steve starts rowing towards the shore at a constnat rate of 4 miles per hour while LeRoy bails water out of the boat.
    What is the slowest rate in gallons per minute, at which LeRoy can bail water out of the boat if they are to reach the shore without sinking?

    Please show all work.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,804
    Thanks
    1576
    Quote Originally Posted by kristin2700 View Post
    While Steve and LeRoy were fishing 1 mile from shore, their boat springs a leak and water comes in a constant rate of 10 gallons per minute.
    The boat will sink if it takes in more than 30 gallons of water. Steve starts rowing towards the shore at a constnat rate of 4 miles per hour while LeRoy bails water out of the boat.
    What is the slowest rate in gallons per minute, at which LeRoy can bail water out of the boat if they are to reach the shore without sinking?

    Please show all work.
    If the water comes in at 10 gallons/min, then the boat will sink in 3 mins.

    They are 1 mile away from shore, so it will take 15 mins to get to shore.

    If it takes 15 mins to get to shore, then you can't have the boat take on any more than 2 gallons/min (Because 2x15 = 30).

    So LeRoy will have to remove water at the rate of 8 gallons/min.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Dec 2009
    From
    U.S
    Posts
    60
    Quote Originally Posted by Prove It View Post
    If the water comes in at 10 gallons/min, then the boat will sink in 3 mins.

    They are 1 mile away from shore, so it will take 15 mins to get to shore.

    If it takes 15 mins to get to shore, then you can't have the boat take on any more than 2 gallons/min (Because 2x15 = 30).

    So LeRoy will have to remove water at the rate of 8 gallons/min.

    Can you represent the problem with an equation? I'm really interested and would like to know. (via private message)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jan 2010
    Posts
    2
    Quote Originally Posted by Masterthief1324 View Post
    Can you represent the problem with an equation? I'm really interested and would like to know. (via private message)
    Can you please represent the problem with an equation on this thread?
    I want to be able to show the work
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by kristin2700 View Post
    Can you please represent the problem with an equation on this thread?
    I want to be able to show the work
    Post #2 contains a perfectly good solution. The logic leading to the answer is the 'working'. I suggest you review it and make an effort to understand it.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Trig word problem - solving a trig equation.
    Posted in the Trigonometry Forum
    Replies: 6
    Last Post: March 14th 2011, 08:07 AM
  2. Replies: 3
    Last Post: January 2nd 2011, 09:20 PM
  3. Trig Word Problem
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: November 16th 2008, 11:41 AM
  4. Trig Help Word Problem
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: June 19th 2008, 09:23 AM
  5. Alegebra shirt sales problem
    Posted in the Algebra Forum
    Replies: 2
    Last Post: December 17th 2005, 10:52 AM

Search Tags


/mathhelpforum @mathhelpforum