Results 1 to 6 of 6

Math Help - Word Problem

  1. #1
    Newbie
    Joined
    Mar 2009
    Posts
    15

    Word Problem

    A pallet that is hanging by a chain is being lowered from the top of a building by a rotating crank. Every 2 minutes the pallet moves down 16 feet. After 4 minutes the pallet is 96 feet above the ground. Write an equation that gives the height above the ground in terms of minutes passed. How tall is the building and how long dfoes it take for the pallet to reach the ground?
    -------------------------------------------------------------------------
    The building is 128 Feet Tall
    16 Minutes to reach the ground.




    This is all I can figure out. >.<; Can someone help me with making up an equation in terms of minutes passed? D:
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Uriah5356 View Post
    A pallet that is hanging by a chain is being lowered from the top of a building by a rotating crank. Every 2 minutes the pallet moves down 16 feet. After 4 minutes the pallet is 96 feet above the ground. Write an equation that gives the height above the ground in terms of minutes passed. How tall is the building and how long dfoes it take for the pallet to reach the ground?
    -------------------------------------------------------------------------
    The building is 128 Feet Tall
    16 Minutes to reach the ground.




    This is all I can figure out. >.<; Can someone help me with making up an equation in terms of minutes passed? D:
    The height is changing linearly with time so the equation takes the form:

    h=mt+c

    where m is the rate of change of height with time (-8 ft/min) and you are told that when t=4, h=96. So now you can find c.

    CB
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member u2_wa's Avatar
    Joined
    Nov 2008
    Posts
    119
    Quote Originally Posted by Uriah5356 View Post
    A pallet that is hanging by a chain is being lowered from the top of a building by a rotating crank. Every 2 minutes the pallet moves down 16 feet. After 4 minutes the pallet is 96 feet above the ground. Write an equation that gives the height above the ground in terms of minutes passed. How tall is the building and how long dfoes it take for the pallet to reach the ground?
    -------------------------------------------------------------------------
    The building is 128 Feet Tall
    16 Minutes to reach the ground.




    This is all I can figure out. >.<; Can someone help me with making up an equation in terms of minutes passed? D:
    Hello Uriah5356:
    You figured out height correctly i.e 128feet.
    \frac{\Delta height}{\Delta time} =\frac{16}{2} =8feet/min

    Hence the equation is: Height above the ground = 128-8t

    Hope this helps
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Mar 2009
    Posts
    15
    Quote Originally Posted by u2_wa View Post
    Hello Uriah5356:
    You figured out height correctly i.e 128feet.
    \frac{\Delta height}{\Delta time} =\frac{16}{2} =8feet/min

    Hence the equation is: Height above the ground = 128-8t

    Hope this helps
    I am kind of tired, so I could be wrong however. Would the equation be different if it was based off of "In terms of minutes passed"
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Mar 2009
    Posts
    15
    Quote Originally Posted by CaptainBlack View Post
    The height is changing linearly with time so the equation takes the form:

    h=mt+c

    where m is the rate of change of height with time (-8 ft/min) and you are told that when t=4, h=96. So now you can find c.

    CB
    What does C stand for in this case?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Uriah5356 View Post
    What does C stand for in this case?
    "constant" - it is the height of the pallet at t=0.

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. word problem - the snow plough problem?
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: October 13th 2011, 01:02 PM
  2. Replies: 3
    Last Post: January 2nd 2011, 08:20 PM
  3. 1 Word problem and 1 function problem
    Posted in the Algebra Forum
    Replies: 8
    Last Post: April 21st 2010, 08:01 AM
  4. Replies: 2
    Last Post: January 10th 2009, 05:49 AM

Search Tags


/mathhelpforum @mathhelpforum