Machines

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Machines

by greenwich » Sat Sep 11, 2010 11:08 am
Machines X and Y produced identical bottles at different constant rates. Machine X, operating alone for 4 hours, filled part of a production lot; then machine Y, operating alone for 3 hours, filled the rest of this lot. How many hours would it have taken machine X operating alone to fill the entire production lot?
(1) Machine X produced 30 bottles per minute.
(2) Machine X produced twice as many bottles in 4 hours as machine Y produced in 3 hours.

Please provide answer with explanations.
Source: — Data Sufficiency |

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by vijaynaik » Sat Sep 11, 2010 7:14 pm
B.

1) INSUFF; as it doesn't give any information about the percentage of lot filled by Machine X or any info about Machine Y.

2)SUFF.

Lets pick numbers. Say Y produces 50 bottles in 3 hours, then X produced 100 in 4 hours. And it can produce 25 in 1 hour.
Since it took 50 bottles to fill the parking lot, X can finish producing these 50 bottles in 2 hours.
So X will take 6 hours to fill the entire parking lot.