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lys-0071 [83]
3 years ago
7

Y=4.5 when x=3 find the variation of k

Mathematics
1 answer:
torisob [31]3 years ago
5 0
The variation of K is what is found in front of X
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two pumps of different sizes, working together, can empty a fuel tank in 3 hours. the larger pump can empty the tank in 4 hours
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Suppose the larger pump alone can empty the tank in L hours, and the smaller pump can finish the job in S hours, then each hour the large pump empties 1/L portion of the tank, and the small pump empties 1/S per hour
Working together for three hours, they empty the whole tank, which is 100% of it, so 3/L+3/S=100%=1
Larger pump can empty the tank in 4 hours less than the smaller one, so L=S-4
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Make the denominator the same to solve for:
3S/[S(S-4)] +3(S-4)/[S(S-4)]=1
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(3S+3S-12)=[S(S-4)]
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3 years ago
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