8 pipes take 26 hrs to fill a drum. If 1 pipe is damaged, then the total time taken to fill the drum is .

29.7 hours

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30.7 hours

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28.7 hours

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27.7 hours

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Solution

The correct option is A 29.7 hours
The problem is based on inverse proportion.
Let the time taken by 7 pipes to fill the drum be t hours,
The equation would be
$7 \times t =$ $8 \times 26$
$S i n c e, t i m e i s i n v e r s e l y p r o p o r t i o n a l t o t h e n u m b e r o f p i p e s$
$\Rightarrow t = \frac{8 \times 26}{7}$
Thus, $t = 29.7 h o u r s$

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8 pipes take 26 hrs to fill a drum. If 1 pipe is damaged, then the total time taken to fill the drum is .

The correct option is A 29.7 hoursThe problem is based on inverse proportion. Let the time taken by 7 pipes to fill the drum be t hours, The equation would be 7×t= 8×26 Since, time is inversely proportional to the number of pipes ⇒ t=8×267 Thus, t=29.7 hours