document.write( "Question 1136625: A ship leaves the harbour and sails at 25 km/h. Another ship leaves 45 minutes later and sails in the same direction at 28 km/h. After how long will the second ship over take the first? \n" ); document.write( "
Algebra.Com's Answer #754412 by Theo(13342)\"\" \"About 
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rate * time = distance.\r
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\n" ); document.write( "\n" ); document.write( "the second ship will overtake the first ship when the distance both have traveled is the same.\r
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\n" ); document.write( "\n" ); document.write( "the first ship will have traveled 45 minutes more than the second ship.\r
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\n" ); document.write( "\n" ); document.write( "the equation for the first ship is:\r
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\n" ); document.write( "\n" ); document.write( "25 * (time + .75) = distance.\r
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\n" ); document.write( "\n" ); document.write( "this is because the first ship is traveling 45 minutes more than the second ship and 45 minutes / 60 = .75 hours.\r
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\n" ); document.write( "\n" ); document.write( "the equation for the second ship is:\r
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\n" ); document.write( "\n" ); document.write( "28 * (time) = distance.\r
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\n" ); document.write( "\n" ); document.write( "since they both travel the same distance when the second ship overtakes the first, then:\r
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\n" ); document.write( "\n" ); document.write( "25 * (time + .75) = 28 * time\r
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\n" ); document.write( "\n" ); document.write( "simplify this to get 25 * time + 25 * .75 = 28 * time\r
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\n" ); document.write( "\n" ); document.write( "simplify further to get 25 * time + 18.75 = 28 * time\r
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\n" ); document.write( "\n" ); document.write( "subtract 25 * time from both sides of the equation to get 18.75 = 3 * time\r
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\n" ); document.write( "\n" ); document.write( "solve for time to get time = 18.75 / 3 = 6.25 hours.\r
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\n" ); document.write( "\n" ); document.write( "in 6.25 hours, the first ship has traveled 25 * (6.25 + .75) = 25 * 7 = 175 kilometers.\r
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\n" ); document.write( "\n" ); document.write( "in 6.25 hours, the second ship has traveled 28 * 6.25 = 175 kilometers.\r
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\n" ); document.write( "\n" ); document.write( "they both meet 175 kilometers from their starting point.\r
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\n" ); document.write( "\n" ); document.write( "the second ship will overtake the first ship in 6.25 hours after the second ship departs.\r
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