document.write( "Question 584804: A computer can perform 30 identical tasks in 6 hours. At that rate, What is the minimum number of computers that should be assigned to complete 80 tasks within 3 hours. \r
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Algebra.Com's Answer #372894 by Schaman_Dempster(26)![]() ![]() You can put this solution on YOUR website! A computer can perform 30 identical tasks in 6 hours.\r \n" ); document.write( "\n" ); document.write( "Rate at which a computer works = number of tasks/ number of hours = 30/6 = 5 tasks per hour\r \n" ); document.write( "\n" ); document.write( "We can say that a computer performs 5 tasks in an hour. \n" ); document.write( "So, a computer performs 3*5 = 15 tasks in 3 hours.\r \n" ); document.write( "\n" ); document.write( "Now, if x number of computers are operated for 3 hours. Then they can do number of tasks = number of tasks done by a computer in 3 hours times the number of computers\r \n" ); document.write( "\n" ); document.write( "Therefore, Number of tasks done by x computers in 3 hours = 15*x = 15x\r \n" ); document.write( "\n" ); document.write( "Now, this number of tasks should equal 80 as mentioned in the problem.\r \n" ); document.write( "\n" ); document.write( "Therefore, 15x = 80 \n" ); document.write( "x = 80/15 \n" ); document.write( "x = 16/3 \n" ); document.write( "x = 5 and 1/3 \n" ); document.write( "Oh we can't have fraction number of computers.\r \n" ); document.write( "\n" ); document.write( "Hence, we can say to complete 80 tasks, there should be 6 computers operating simultaneously. \n" ); document.write( " |