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The wait time in minutes, w, for a table at a certain

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The wait time in minutes, w, for a table at a certain

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Source: Manhattan GMAT

The wait time in minutes, w, for a table at a certain restaurant can be estimated by the formula w=d2+knw=d2+kn, where d is the number of diners in the party, k is a constant, and n is the number of parties ahead in line at the beginning of the wait. If a party of 4 has an estimated wait time of 40 minutes when 6 other parties are ahead of it, how many minutes would the estimated wait time be for a party of 6 if there are 3 parties ahead of it?

A. 28
B. 33
C. 39
D. 42
E. 48

The OA is E

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