document.write( "Question 1173839: After sailing 13 mi, a sailor changed direction and increased the boat's speed by 4 mph. An additional 17 mi was sailed at the increased speed. The total sailing time was 2 h. Find the rate of the boat for the first 13 mi. \n" ); document.write( "
Algebra.Com's Answer #799159 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "Let the speed for the first part be x; then the speed for the second part is x+4.

\n" ); document.write( "The time for each part is the distance, divided by the speed; the total time is 2 hours:

\n" ); document.write( "\"13%2Fx+%2B+17%2F%28x%2B4%29+=+2\"

\n" ); document.write( "That equation is solved relatively easily with basic algebra.

\n" ); document.write( "However, if you take a moment to look at the numbers in the equation, you might be able to see almost immediately that x=13 works....

\n" ); document.write( "ANSWER: 13mph for the first 13 miles.

\n" ); document.write( "CHECK: 13/13 + 17/(13+4) = 1+1 = 2

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