Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
Choose the correct option
A) 3 9/17  B) 5 1/3  C) 7  D) 7 1/5  E) 8 4/7
Rate of machine X = 1000/12 = 250/3   Rate of machine Y = 1/Y   Rate of machine X and Y together = 1000/5= 
<gadget id="calculator">1000/5</gadget>
<output>200</output>
200   250/3 + 1/y= 200   after solving this equation we get Y= 3/350   Rate of Y = 1/y = 1/ (3/350) = 350/3   Machine Y has to manufacture 1000 nails. So work is 1000. Putting the values;   time required for machine Y = 1000/(350/3) = 1000* 3/(350) = 60/7 = 8 4/7   ANSW8 4/7R:8 4/7
<result>E</result>
Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?