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Time and Work — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsTime and Work3 Marks
Question
Pipe A can fill an empty tank in 5 hours while pipe B can empty the full tank in 6 hours. If both are opened at the same time in the empty tank, how much time will they take to fill it up completely?
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Answer

Pipe A's one hour's work for filling the tank $=\frac{1}{5}$
Pipe B's one hour's work for emptying $=\frac{1}{6}$
Both pipes are opened, then,
Both's one hour's work $=\frac{1}{5}-\frac{1}{6}$
$=\frac{6-5}{30}=\frac{1}{30}$
$\therefore$ The empty tank will be filled in 30 hours.

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