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Math Help - word problem help please!

  1. #1
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    Exclamation word problem help please!

    hi, i really don't understand math problems so if anyone could help it would be greatly appreciated!.

    okay,
    A person traveled 120 miles in one direction. The return trip was accomplished at double the speed and took 3 hours less time. Find the speed going.
    Last edited by heather_meaghan; June 4th 2008 at 06:24 PM.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by heather_meaghan View Post
    hi, i really don't understand math problems so if anyone could help it would be greatly appreciated!.

    okay,
    A person traveled 120 miles in one direction. The return trip was accomplished at double the speed and took 3 hours less time. Find the speed going.
    Remember \mbox{Speed } = \frac {\mbox{Distance}}{\mbox{Time}}

    Let s and t be the speed and time, respectively, for the first trip.

    Thus, for the second trip, the speed and time is 2s and (t - 3) respectively.

    But the distances are the same!

    and \mbox{Time } = \frac {\mbox{Distance}}{ \mbox {Speed}}

    thus, for the first trip, t = \frac {120}s

    for the return trip, t - 3 = \frac {120}{2s} \implies t = \frac {120}{2s} + 3

    now equate the t's

    \frac {120}s = \frac {120}{2s} + 3

    Now solve for s
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