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14 March, 22:13

For a ship moving against the current, it takes 9 hours to cover a distance of 113.4 miles. how much does it take this ship to return if the rate of the current is 1.9 mph?

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  1. 14 March, 22:21
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    Let x mph be the speed of the ship in still water.

    Against the current, the net speed is, (x-1.9) mph.

    Time, t = distance, d / Speed, v = > 9 = 113.4 / (x-1.9) = > 9 (x-1.9) = 113.4 = > x-1.9 = 113.4/9 = > x = 12.6+1.9 = 14.5 mph

    Moving with the current, the net speed of the ship = 14.5+1.9 = 16.4 mph

    Time take, t = d/v = 113.4/16.4 = 6.915 hours
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