SOLUTION: a hot water tap can fill a bath in 5 minutes while a cold water tap can fill the same bath in 3 minutes. the drain pipe can empty the full bath in three and a quarter minutes. the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a hot water tap can fill a bath in 5 minutes while a cold water tap can fill the same bath in 3 minutes. the drain pipe can empty the full bath in three and a quarter minutes. the       Log On


   

Question 1101894: a hot water tap can fill a bath in 5 minutes while a cold water tap can fill the same bath in 3 minutes. the drain pipe can empty the full bath in three and a quarter minutes. the two taps and the drain pipe are fully open for one and a half minutes after which the drain pipe is closed. how much longer will it take to fill the bath?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Taps      Flow Rates bath per minute
HOT       1/5
COLD      1/3
DRAIN    -1/3.25


Make an equation from the description:
%281%2F5%2B1%2F3-1%2F3.25%29%281%261%2F2%29%2B%281%2F5%2B1%2F3%29%2Ax=1

x=2, twominutes


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Caclulated to x=1.982 minutes or 1 minute 59 seconds