SOLUTION: 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 mete
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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?
A. 12 B. 18 C. 24 D. 36 E. 48
Answer by stanbon(75887) (Show Source): 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?
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time and # of men are indirectly related
time and hole volume are directly related
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t = k*v/m
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Solve for "k" if vol = 8 cu meters and # of men = 1 and time = 18 hrs
18 = k*8/1
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k = 18/8 = 9/4
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Equation:
t = (9/4)(v/m)
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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?
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t = (9/4)(64/3)
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time = 48 hrs
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Cheers,
Stan H.
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A. 12 B. 18 C. 24 D. 36 E. 48
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