Two taps ‘A’ and ‘B’ can fill a cistern in 28 minutes and 56 minutes respectively. A third tap ‘C’ can empty it in 42 minutes. If all the three taps are open, the time taken to fill the cistern will be?
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Given: Two taps ‘A’ and ‘B’ can fill a cistern in 28 minutes and 56 minutes respectively. A third tap ‘C’ can empty it in 42 minutes.
all the three taps are open,
To Find : the time taken to fill the cistern
Solution:
Tap A can fill in 1 min = 1/28
Tap B can fill in 1 min = 1/56
Tap C can empty in 1 min = 1/42
All taps together in 1 min = 1/28 + 1/56 - 1/42
= ( 6 + 3 - 4 ) 168
= 5/168
Hence time taken to fill the tank = 168/5 min
= 33.6 mins
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