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Math Help - 2x2 System word problem?

  1. #1
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    2x2 System word problem?

    An underwater(but near the surface) explosion is detected by sonar on a ship 30s before it is heard on deck. If sound travels at 5,000 ft/s in water and 1,000 ft/s in air, how far is the ship from the explosion?

    All I need is the equations and I'll be aright to go from their.
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  2. #2
    Senior Member topher0805's Avatar
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    Let t be equal to the time it takes to be heard by the sonar.

    We then have that the time for it to be heard on deck is t + 30.

    v = \frac {d}{t}

    Therefore:

    d = vt

    And since the distances are equal:

    1000(t + 30) = 5000t

    Now solve for t to get:

    4000t = 30000

    t = 7.5

    Now just plug that into the equation d = vt to get:

    d = 5000(7.5)

    d = 37,500 feet
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