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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 xyyx
Nails 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+800B

Solving we get,

B=xyyx

Hence, the answer is (E)

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