A cistern can be filled up by one pipe in 12 hours and by another in 8 hours. Both the pipes are kept open for $2 \frac{1}{2}$ hours. The part of the cistern filled up is

\frac{25}{48}

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\frac{5}{6}

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\frac{25}{36}

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\frac{12}{25}

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Solution

The correct option is A $\frac{25}{48}$
Part of the cistern filled in 1 hour $= (\frac{1}{12} + \frac{1}{8}) = \frac{2 + 3}{24} = \frac{5}{24}$
$∴$ Part of the cistern filled in $2 \frac{1}{2}$ hours, i.e., $\frac{5}{2}$ hours $= \frac{5}{24} \times \frac{5}{2} = \frac{25}{48}$ .

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A cistern can be filled up by one pipe in 12 hours and by another in 8 hours. Both the pipes are kept open for 212 hours. The part of the cistern filled up is

The correct option is A 2548Part of the cistern filled in 1 hour =(112+18)=2+324=524∴ Part of the cistern filled in 212 hours, i.e., 52 hours =524×52=2548.

A cistern can be filled up by one pipe in 12 hours and by another in 8 hours. Both the pipes are kept open for $2 \frac{1}{2}$ hours. The part of the cistern filled up is

The correct option is A $\frac{25}{48}$
Part of the cistern filled in 1 hour $= (\frac{1}{12} + \frac{1}{8}) = \frac{2 + 3}{24} = \frac{5}{24}$
$∴$ Part of the cistern filled in $2 \frac{1}{2}$ hours, i.e., $\frac{5}{2}$ hours $= \frac{5}{24} \times \frac{5}{2} = \frac{25}{48}$ .