document.write( "Question 1183385: Hello\r
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document.write( "A pipe can empty a tank in 40 minutes.
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document.write( "A second pipe with diameter twice as much as
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document.write( " that of the first is also attached with the tank to empty it.\r
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document.write( "The two pipes together can empty the tank in 8
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document.write( "I don't understand how they got 8?\r
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document.write( "How would I go about solving this?\r
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document.write( "Thanks in advance,\r
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Algebra.Com's Answer #813690 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The rate at which water flows through the pipes is proportional to the cross sectional area of the pipes. Since the diameter of the second pipe is 2 times the diameter of the first, water flows through the second pipe at a rate 2^2=4 times as fast as through the first pipe. \n" ); document.write( "So having both pipes working is like having 1+4=5 of the first pipes. Then, since the first pipe can empty the tank in 40 minutes, the two pipes together can empty it in 40/5 = 8 minutes. \n" ); document.write( "----------------------------------------------------------- \n" ); document.write( "Note that a couple of tutors who responded to this post failed to understand what the reader was asking for. \n" ); document.write( "He KNOWS the answer is 8 minutes; what he is clearly asking for is help to understand HOW to get that answer. \n" ); document.write( "My response above and the one from tutor @Math_helper both do that, in different ways.... \n" ); document.write( " \n" ); document.write( " |