document.write( "Question 388850: If it takes Jeremy 18 hours to dig a 2 meter by 2 meter by 2 meter hole, how many hours would it take three men (each working at the same rate as Jeremy) to dig a 4 meter by 4 meter by 4 meter hole? \r
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document.write( "A. 12 B. 18 C. 24 D. 36 E. 48\r
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Algebra.Com's Answer #275253 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If it takes Jeremy 18 hours to dig a 2 meter by 2 meter by 2 meter hole, how many hours would it take three men (each working at the same rate as Jeremy) to dig a 4 meter by 4 meter by 4 meter hole? \n" ); document.write( "---- \n" ); document.write( "time and # of men are indirectly related \n" ); document.write( "time and hole volume are directly related \n" ); document.write( "---------------- \n" ); document.write( "t = k*v/m \n" ); document.write( "---- \n" ); document.write( "Solve for \"k\" if vol = 8 cu meters and # of men = 1 and time = 18 hrs \n" ); document.write( "18 = k*8/1 \n" ); document.write( "--- \n" ); document.write( "k = 18/8 = 9/4 \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "t = (9/4)(v/m) \n" ); document.write( "======================== \n" ); document.write( " how many hours would it take three men (each working at the same rate as Jeremy) to dig a 4 meter by 4 meter by 4 meter hole? \n" ); document.write( "--- \n" ); document.write( "t = (9/4)(64/3) \n" ); document.write( "--- \n" ); document.write( "time = 48 hrs \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========================= \n" ); document.write( " \n" ); document.write( "A. 12 B. 18 C. 24 D. 36 E. 48 \n" ); document.write( " |