Time and Work

[Chaitanya_1986]

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

[manpsingh87]

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

[Chaitanya_1986]

Thanks Buddy got it