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document.write( "A man leaves his house at 8:00 AM and traveling at an average speed of 2 kph, arrives at his office
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document.write( "3 min ahead of the expected time. Had he left his house at 8:30 am and traveled at an average speed of 3 kph,
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document.write( "he will arrive 6 min late of the expected time. Find the distance that he had traveled.
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document.write( " As the problem is worded, it may perplex the reader.\r
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document.write( " To avoid perplexing, I'd re-formulate the condition this way:\r
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document.write( " A man leaves his house at 8:00 AM and traveling at an average speed of 2 kph, arrives at his office \r\n" );
document.write( " 3 min ahead of the 
scheduled time. \r\n" );
document.write( " Had he left his house at 8:30 am and traveled at an average speed of 3 kph, \r\n" );
document.write( " he will arrive 6 min late of the scheduled time. \r\n" );
document.write( " Find the distance that he had traveled.\r\n" );
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document.write( " SOLUTION\r
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document.write( "Let d be the distance from the house to the office.\r\n" );
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document.write( "The travel time in the first scenario is 
hours.\r\n" );
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document.write( "The travel time in the second scenario is 
hours.\r\n" );
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document.write( "The difference of the travel times is (t - 8:00 - 3) - ((t+6) - 8:30) = 30 -3 - 6 = 21 minutes, or 
of an hour,\r\n" );
document.write( "where \"t\" is the scheduled time clock reading.\r\n" );
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document.write( "It gives the time equation\r\n" );
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document.write( " - = hours\r\n" );
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document.write( "to find \"t\". To solve the equation, multiply both sides by 60. You will get\r\n" );
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document.write( " 30d - 20d = 21\r\n" );
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document.write( " 10d = 21\r\n" );
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document.write( " d = 21/10 = 2.1 miles. ANSWER\r\n" );
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document.write( "ANSWER. The distance from home to the office is 2.1 miles.\r\n" );
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document.write( "CHECK. The travel time in the first scenario is 
= 1.05 hours = 1 hour and 3 minute.\r\n" );
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document.write( " Hence, the appointment time (scheduled arriving time) is 9:06 am.\r\n" );
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document.write( " In the second scenario, his travel time was 
= 0.7 of an hour, or 42 minutes; \r\n" );
document.write( " he started at 8:30 am, hence, he arrived at 9:12 am, which is 6 minutes later \r\n" );
document.write( " than the scheduled arriving time of 9:06 am.\r\n" );
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document.write( " ! Correct !\r\n" );
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document.write( "Solved.\r
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document.write( "![\"\"](\"/images/stars/stars-13.gif\")
