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Math Help - boat speed

  1. #1
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    boat speed

    a boat is trying to cross a 8km wide lake. the speed of the boat in the first 2 kilometers is unknown but it started to raise it speed 0.5 kilometers per hour faster than the first 2 kilometers. it arrived 10 minutes earlier than expected. find the original speed of the boat.
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  2. #2
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    Quote Originally Posted by aeroflix View Post
    a boat is trying to cross a 8km wide lake. the speed of the boat in the first 2 kilometers is unknown but it started to raise it speed 0.5 kilometers per hour faster than the first 2 kilometers. it arrived 10 minutes earlier than expected. find the original speed of the boat.
    Does this mean that the speed on the last 6km was 1/2 kph greater than on the first 2km?

    Let the initial speed be $$ x kph. Then it would have taken 8/x hours to cross the lake at that speed. It in fact took [2/x] + [6/(x+0.5)] hours to cross the lake.

    Now can you finish?
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