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28 October, 00:28

A plane flew for 4 hours heading south and for 6 hours heading east. If the total distance traveled was 3,370 miles, and the plane traveled 45 miles per hour faster heading south, at what speed was the plane traveling east?

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  1. 28 October, 02:28
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    We know the total distance and individual times, so we can sum and equate total distance.

    Let

    E=speed heading east

    E+45=speed heading south

    then

    4 (E+45) + 6E=3370 miles

    Solve for E:

    4E+180+6E=3370

    10E=3370-180=3190 mph

    E=319 mph.
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