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Thread: Rescue At Sea

  1. #1
    Member harpazo's Avatar
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    Rescue At Sea

    A life raft, set adrift from a sinking ship 150 miles offshore, travels directly toward a Coast Guard station at the rate of 5 miles per hour. At the time the raft is set adrift, a rescue helicopter is dispatched from the Coast Guard station. If the helicopter's average speed is 90 mph, how long will it take the helicopter to reach the life raft?

    Let x = length of time it takes the helicopter to reach the life draft.

    Raft Toward Coast Guard

    Distance = 150 miles
    rate = 5 mph
    time = x

    Coast Guard Toward Raft

    Distance = 150 miles
    rate = 90 mph
    time = x

    My equation is 5x + 90x = 150.

    My answer for x is 1.59. The book's answer is 1 hour, 35 minutes.

    What did I do wrong?
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  2. #2
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    Re: Rescue At Sea

    1.59(hr) * 60(min) = ~95 min = 1 hr 35 min

    You were correct and deserve a pink star to be stuck on your forehead...

    Btw, you could have done this quickly by distance / speed = time:
    150 miles travelled, combined speed of 95: 150 / 95
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  3. #3
    Member harpazo's Avatar
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    Re: Rescue At Sea

    Quote Originally Posted by DenisB View Post
    1.59(hr) * 60(min) = ~95 min = 1 hr 35 min

    You were correct and deserve a pink star to be stuck on your forehead...

    Btw, you could have done this quickly by distance / speed = time:
    150 miles travelled, combined speed of 95: 150 / 95
    Cool. I will post daily word problems (no more than 2). My goal is to "master" the skill of converting word problems to the language of algebra leading to the right equation(s).
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