document.write( "Question 263420: A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On the return trip, the ferry travels at an average speed of 10 mph because of fog. The total time for the trip is 4 h. How far is the island from the harbor? \n" ); document.write( "

Algebra.Com's Answer #194122 by drk(1908) $\"\"$ $\"About$

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This is an RTD problem. Here is a table based on the given information
\n" ); document.write( "location . . . . . rate . . . . .time . . . . . distance
\n" ); document.write( "resort . . . . . . . .22 . . . . .t. . . . . . . . . . 22t
\n" ); document.write( "harbor . . . . . . .10 . . . . .4-t. . . . . . . . . 40-10t
\n" ); document.write( "total. . . . . . . . . . . . . . . . 4
\n" ); document.write( "since distances are =, set
\n" ); document.write( " $\"22t+=+40-10t\"$
\n" ); document.write( "add 10t to get
\n" ); document.write( " $\"32t+=+40\"$
\n" ); document.write( "divide by 32 to get
\n" ); document.write( " $\"t+=+1.25\"$ hours
\n" ); document.write( "we want distance, so
\n" ); document.write( "22*1.25 = 27.5 miles \n" ); document.write( "

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