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Math Help - help distance time question

  1. #1
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    Thumbs up help distance time question

    A ship left a port & sailed at the rate of 20 miles per hour. one hour later, a second ship left the same port at the rate of 25 miles per hour, also traveling east. in how many hours did the second ship overtake the first ship?
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  2. #2
    Member Ranger SVO's Avatar
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    Rate * Time = Distance

    The first ship leaves an hour before the second so it has an hour head start
    The equation for the first ship should be 20 * ( t + 1 ) = Distance
    The second ship will have an equation like 25 * t = Distance

    We can find the time at which both ships are at the same Distance by setting the equations equal to each other

    20 * ( t + 1 ) = 25 * t
    20*t + 20 = 25*t subtract 20t from both sides and we have 20 = 5t finally divide both sides by 5 and get t = 4

    Plug 4 back into either equation and you will see that at 100 miles out they are together

    Almost forgot, in relation to the first ship, the second will over take it in 5 hours (remember (t + 1))
    Last edited by Ranger SVO; November 21st 2006 at 05:54 PM.
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