Problema Solution

Taps A and B together could finish a work in 15 days.A and B are kept open for 12 days and then B is closed It takes another 8 days for pool to be filled.How many days does each tap required to fill the pool

Answer provided by our tutors

let


a = the days that tap A needs to fill the pool

b = the days that tap B needs to fill the pool


1/a + 1/b = 1/15


A and B are kept open for 12 days and then B is closed It takes another 8 days for pool to be filled


12/15 + 8/a = 1


by solving for a we find


a = 40 days


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1/40 + 1/b = 1/15


by solving for b we find


b = 24 days


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tap A needs 40 days to fill in the pool alone.

tap B needs 24 days to fill in the pool alone.