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4 September, 02:34

1. Two boats A and B depart from a port at the same time, travels to the north at 15 miles per hour, while B travels eastward at 20 mph. How fast boats are separated two hours after they left the port?

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  1. 4 September, 02:49
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    50 mi

    Step-by-step explanation:

    Two hours after leaving port,

    Boat A has travelled 30 mi north Boat B has travelled 40 mi east.

    The triangle formed by their tracks and the line joining their current positions is a right-angled triangle.

    According to Pythagoras,

    a² + b² = c²

    30² + 40² = c²

    900 + 1600 = c²

    2500 = c²

    √ (2500) = c

    c = 50 mi

    The boats will be separated by 50 mi two hours after leaving port.
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