P+M+K=162
P=2k
P=M/3
Slving this u get P=36 / M=108 / K=18. There fore 90 hrs is the diff b/w M and K
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gmat prep equations
Source: Beat The GMAT — Problem Solving |
I'm still confused as to how you got from:
P=2k
P=M/3
to "90 hrs is the diff b/w M and K"
P=2k
P=M/3
to "90 hrs is the diff b/w M and K"
P = 2K ... (i)
Also, P = M/3 ...(ii)
From (i) and (ii),
2K = M/3
Or, M = 6K ...(iii)
Now, as P + K + M = 162, substitute (i) and (iii),
2K + K + 6K = 162.
=> 9K = 162
=> K = 18
Thus from (iii),
M = 6*18 = 108.
The question asks about how much M is more than K, i.e.,
M-K = 108 - 18 = 90
Also, P = M/3 ...(ii)
From (i) and (ii),
2K = M/3
Or, M = 6K ...(iii)
Now, as P + K + M = 162, substitute (i) and (iii),
2K + K + 6K = 162.
=> 9K = 162
=> K = 18
Thus from (iii),
M = 6*18 = 108.
The question asks about how much M is more than K, i.e.,
M-K = 108 - 18 = 90
