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) $3 \mathrm{~min} 30 \mathrm{sec}$

   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) $3 \mathrm{~min} 30 \mathrm{sec}$
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The Pearson Guide to Objective Arithmetic for Competitive Examinations
The Pearson Guide to Objective Arithmetic for Competitive Examinations
Dinesh Khattar 2nd Edition
Chapter 14, Problem 13 ↓

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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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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) $3 \mathrm{~min} 30 \mathrm{sec}$
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