document.write( "Question 846404: Trains A and B leave the same city at the same time, headed west and south respectively. Train A travels 14 km/h faster than train B. After 5 hours they are 130 km apart. Find the speed of each train. \n" ); document.write( "
Algebra.Com's Answer #509716 by josgarithmetic(39621)\"\" \"About 
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The departure point of the city is at the vertex of the right angle of a triangle and the other two vertices are the location of train A and train B. This is a right triangle because WEST and SOUTH, the directions of each train.\r
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\n" ); document.write( "\n" ); document.write( "Train B, rate is r.
\n" ); document.write( "Train A, rate is r+14.\r
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\n" ); document.write( "\n" ); document.write( "Distance train A goes in 5 hours is (r+14)*5.
\n" ); document.write( "Distance train B goes r*5 in 5 hours.\r
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\n" ); document.write( "\n" ); document.write( "Pythagorean Theorem for the distances, \"highlight%28%28%28r%2B14%29%2A5%29%5E2%2B%28r%2A5%29%5E2=130%5E2%29\";
\n" ); document.write( "Solve for r. \n" ); document.write( "
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