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rate and work

by B166418 » Wed Nov 07, 2012 7:51 pm
Six Machines,each working at same constant rate ,together can complete the job in 12 days.How many additional machines each working at same constant rate,will be needed to complete job in 8 days ....

A 3
B 4
C 5
D 6
E 2
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by FLUID » Wed Nov 07, 2012 8:02 pm
B166418 wrote:Six Machines,each working at same constant rate ,together can complete the job in 12 days.How many additional machines each working at same constant rate,will be needed to complete job in 8 days ....

A 3
B 4
C 5
D 6
E 2
Explanation:

Machines and days are inversely proportional.

6(Machines) * 12 (days) = x (machines) * 8 (days)

=> x = 9


We need 9 machines to complete the work in 8 days
=> we need 3 additional machines to that of original 6 Machines.

Answer is 3 (A)
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