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Question

# Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in y hours. In terms of x and y, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?

A
xx+y
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B
yx+y
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C
xyx+y
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D
xyxy
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E
xyyx
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Solution

## The correct option is E xyy−xNails Produced per Hour by Machine A=800y Nails Produced per Hour by Machine A and B together =800x Let us assume Nails Produced per Hour by Machine B=800B ⇒800x=800y+800BSolving we get,⇒B=xyy−xHence, the answer is (E)

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