Rate Problem

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by givemeanid » Wed Aug 01, 2007 7:32 am
R = 36
S = 18

1/R + 1/S = 1/T
1/36 + 1/18 = 1/T
3/36 = 1/T
T = 12
This means, if an R and an S machine were working together, it would take them 12 hours to do the work.
To do the work in 2 hours, 12/2 = 6 of each would be needed.


Alternately,
n/R + n/S = 1/T
n/36 + n/18 = 1/2
3n/36 = 1/2
6n = 36
n = 6
So It Goes
Source: — Data Sufficiency |