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Time and Work

by Chaitanya_1986 » Thu May 12, 2011 8:36 pm
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.

OA is B
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Source: — Data Sufficiency |
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by manpsingh87 » Thu May 12, 2011 8:54 pm
Chaitanya_1986 wrote: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.

OA is B
1) since we don't have the information about the no. of bottles produced by machine y therefore 1 alone is not sufficient to answer the question..!!

2) let machine y produced a bottles, therefore machine X produced 2a;
total bottles produced =3a;

machine y produced 2a bottles in 4hours, therefore it will produce 3a bottle ins (4/2a)*3a;
=6 hours, hence 2 alone is sufficient to answer the question..!!

B
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by Chaitanya_1986 » Thu May 12, 2011 9:04 pm
Thanks Buddy got it
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