A Colony has 10 buildings. Hema take an hour to distribute a notice in 5 buildings in a Colony. However both Viren and dhiren take 80 minutes each to distribute a notice in the 5 buildings in the colony. If all three distribute the notice to the 10 buildings together, how long would they take?

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Solution

Time taken by hema to complete half work i.e. 5 buildings = 60 minutes
Time taken by hema to complete complete work i.e. 10 buildings = 120 minutes

Time taken by viren to complete half work i.e. 5 buildings = 80 minutes
Time taken by viren to complete complete work i.e. 10 buildings = 160 minutes

Time taken by dhiren to complete half work i.e. 5 buildings = 80 minutes
Time taken by dhiren to complete complete work i.e. 10 buildings = 160 minutes

1/(Time taken if they work together) = (1/160) + (1/160) + (1/120) = 5/240....time taken = 240/5 = 48 days

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