document.write( "Question 162045: If a pipe can fill a tank in x hours, what fractional part of the tank will be filled in one hour? \n" ); document.write( "
Algebra.Com's Answer #119421 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "If a pipe can fill a tank in x hours, what fractional \r\n" );
document.write( "part of the tank will be filled in one hour?\r\n" );
document.write( "\r\n" );
document.write( "Let's look at a bunch of particular cases when we have a\r\n" );
document.write( "number instead of the letter \"x\":\r\n" );
document.write( "\r\n" );
document.write( "Case 1: \r\n" );
document.write( "If a pipe can fill a tank in \"1\" hour, what fractional \r\n" );
document.write( "part of the tank will be filled in one hour?  Answer: \"1%2F1\"th of it. \r\n" );
document.write( "\r\n" );
document.write( "[That's 1, or 100%, or all of it]\r\n" );
document.write( "\r\n" );
document.write( "Case 2:\r\n" );
document.write( "If a pipe can fill a tank in \"2\" hours, what fractional \r\n" );
document.write( "part of the tank will be filled in one hour?  Answer: \"1%2F2\" of it.\r\n" );
document.write( "\r\n" );
document.write( "Case 3: \r\n" );
document.write( "If a pipe can fill a tank in \"3\" hours, what fractional \r\n" );
document.write( "part of the tank will be filled in one hour?  Answer: \"1%2F3\"rd of it.\r\n" );
document.write( "\r\n" );
document.write( "Case 4: \r\n" );
document.write( "If a pipe can fill a tank in \"4\" hours, what fractional \r\n" );
document.write( "part of the tank will be filled in one hour?  Answer: \"1%2F4\"th of it.\r\n" );
document.write( "\r\n" );
document.write( "Case 5: \r\n" );
document.write( "If a pipe can fill a tank in \"5\" hours, what fractional \r\n" );
document.write( "part of the tank will be filled in one hour?  Answer: \"1%2F5\"th of it.\r\n" );
document.write( "\r\n" );
document.write( "Case 6: \r\n" );
document.write( "If a pipe can fill a tank in \"6\" hours, what fractional \r\n" );
document.write( "part of the tank will be filled in one hour?  Answer: \"1%2F6\"th of it.\r\n" );
document.write( "  \r\n" );
document.write( "Case 7: \r\n" );
document.write( "If a pipe can fill a tank in \"7\" hours, what fractional\r\n" );
document.write( "part of the tank will be filled in one hour?  Answer: \"1%2F7\"th of it.\r\n" );
document.write( "\r\n" );
document.write( "...\r\n" );
document.write( "\r\n" );
document.write( "Now that list can go on forever and ever.  But look at what \r\n" );
document.write( "is always true in every case above:\r\n" );
document.write( "\r\n" );
document.write( "If a pipe can fill a tank in a certain number of hours, what \r\n" );
document.write( "fractional part of the tank will be filled in one hour?  \r\n" );
document.write( "\r\n" );
document.write( "The answer is always \"1%2F%28%22that_certain_number%22%29\"ths of it.\r\n" );
document.write( "\r\n" );
document.write( "So if we replace the words \"that certain number\" by the letter \r\n" );
document.write( "\"x\" you could say this about every one of those:\r\n" );
document.write( "\r\n" );
document.write( "Case x: \r\n" );
document.write( "If a pipe can fill a tank in \"x\" hours, what fractional part \r\n" );
document.write( "of the tank will be filled in one hour?  Answer: \"1%2Fx\"ths of it.\r\n" );
document.write( "\r\n" );
document.write( "So the answer is \"1%2Fx\".\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );