Two taps can fill a cistern in 6 min. and 7 min. respectively. if these taps are opened alternatively for aminute, in what time will the cistern be filled
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First tap can fill 1/6 part of cistern in 1 min
Second tap can fill 1/7 part of cistern in 1 min
Let both can fill it in x min(together)
Both can fill 1/x part in 1 min
1/x=1/6+1/7
1/x=13/42
x=42/13
Both together can fill the cistern in 42/13 minutes.
Second tap can fill 1/7 part of cistern in 1 min
Let both can fill it in x min(together)
Both can fill 1/x part in 1 min
1/x=1/6+1/7
1/x=13/42
x=42/13
Both together can fill the cistern in 42/13 minutes.
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