A 12-person cleaning crew cleans a certain office building every night. It takes them six hours to compete the job. One night 2 men failed to show up. How long did it take the rest of the crew to clean the building?

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Please find below the solution to the asked query:

Note that if M1 persons do W1 work in D1 hours and M2 persons do W2 work in D2 hours, then we have a relation.      M1 D1W2=M2 D2W1Here the work done in both cases is same, that is W1=W2So the formual reduces to,       M1 D1=M2 D2  Substitute the values as follows:     M1 =12,   D1=6,  M2=10,  D2=?This implies that,    12×6=10× D2     72=10D2This further implies that,     D2=7210           =7.2 hours

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