3. Two taps running together can fill a bath in 4 minutes, which is filled by one of the taps by
7 minutes. How long would it take if the other pipe is running by itself?
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Step-by-step explanation:
Time taken by both taps running together=4min
work done by both taps if they running together=1/4
Time taken by tap 1 to fill bath=7min
work done by tap 1=1/7
Time taken by tap 2 to fill bath=xmin
work done by tap 2=1/x
so,work done by both tap 1 and 2 =
1/7+1/x=1/4
1/x=1/4-1/7
1/x=7-4/28
1/x=3/28
so work done by tap 2=3/28
and,time taken by tap 2=28/3min
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