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Question

If Machine X can produce 1,000 bolts in 4 hours and Machine Y can produce 1,000 bolts in 5 hours, in how many hours can Machines X and Y, working together at these constant rates, produce 1,000 bolts?

A
329 hours
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B
229hours
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C
129 hours
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D
334 hours
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Solution

The correct option is C 229hours
Machine X can produce 100 bolts in 4 hrs.
So, it can produce 10004=250 bolts in an hour.
Machine Y can produce 1000 bolts in 5 hrs.
So, it can produce 10005=200 bolts in an hour.
So, together they can produce 250+200=450 bolts in an hour.
So, they will produce 1000 bolts in 1000450=229 hours. Option B

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