Question
Two pipes $A$ and $B$ can fill a cistern in 4 minutes and 6 minutes, respectively. If these pipes are turned on alternately for 1 minute each how long will it take for the cistern to fill?(a) $4 \mathrm{~min} 40 \mathrm{sec}$(b) $3 \mathrm{~min} 20 \mathrm{sec}$(c) $4 \mathrm{~min} 50 \mathrm{sec}$(d) $3 \mathrm{~min} 30 \mathrm{sec}$
Step 1
- Pipe A can fill the cistern in 4 minutes, so its rate is \( \frac{1}{4} \) of the cistern per minute. - Pipe B can fill the cistern in 6 minutes, so its rate is \( \frac{1}{6} \) of the cistern per minute. Show more…
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