document.write( "Question 1138422: A bus travelling 200km has 10 stages at equal interval. The speed of the bus in the various stages was observed to be 10,15,20,25,20,30,40,50,30,40 per hour. Find the average speed at which the bus travels? \n" ); document.write( "
Algebra.Com's Answer #756226 by ikleyn(52847)\"\" \"About 
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\n" ); document.write( "A bus travelling 200 km has 10 stages at equal \"highlight%28cross%28interval%29%29\" lengths.
\n" ); document.write( "The speed of the bus in the various stages was observed to be 10, 15, 20, 25, 20, 30, 40, 50, 30, 40 \"highlight%28kilometers%29\" per hour.
\n" ); document.write( "Find the average speed at which the bus travels?
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document.write( "Each interval is  \"200%2F10\" = 20 kilometers long and the time for each interval is\r\n" );
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document.write( "    \"20%2F10\"  hours  for the 1-st interval\r\n" );
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document.write( "    \"20%2F15\"  hours  for the 2-nd interval\r\n" );
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document.write( "    \"20%2F20\"  hours  for the 3-rd interval\r\n" );
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document.write( "    \"20%2F25\"  hours  for the 4-rd interval\r\n" );
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document.write( "      .  .  .  .  and so on  .  .  .  . \r\n" );
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document.write( "So, the total time is\r\n" );
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document.write( "    Total time =  = \r\n" );
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document.write( "        the common denominator is  600;  so, I am continuing \r\n" );
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document.write( "    =  = \r\n" );
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document.write( "    \"20%2A%28%2820+%2B+40+%2B+30+%2B+24+%2B+30+%2B+20+%2B+15+%2B+12+%2B+20+%2B+15%29%2F600%29\" = \"20%2A%28226%2F600%29\" = \"226%2F30\" hours.\r\n" );
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document.write( "Then the average speed = \"total_distance%2Ftotal_time\" = \"200%2F%28%28226%2F30%29%29\" = \"%28200%2A30%29%2F226\" = \"%28100%2A30%29%2F113\" = \"3000%2F113\" = 23.077 kilometers per hour.       ANSWER\r\n" );
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