Question
Pipe A fills a tank in $10$ hours, Pipe B fills it in $15$ hours and Pipe C empties it in $12$ hours. If all three are opened together, in how many hours will the tank fill? / नल A एक टंकी को $10$ घंटे में भरता है, नल B $15$ घंटे में भरता है और नल C $12$ घंटे में खाली करता है। यदि तीनों एक साथ खोल दिए जाएँ, तो टंकी कितने घंटे में भरेगी?
Option 1 : $12$ hours / $12$ घंटे
Detailed Solution
सही उत्तर $12$ hours / $12$ घंटे है।
Net rate = $1/10$ + $1/15$ - $1/12$ = $1/12$ per hour, so the tank fills in $12$ hours. / शुद्ध दर = $1/10$ + $1/15$ - $1/12$ = $1/12$ प्रति घंटा, इसलिए टंकी $12$ घंटे में भरेगी।
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prepsnap.in • Numerical AbilityQuestion:
Pipe A fills a tank in $10$ hours, Pipe B fills it in $15$ hours and Pipe C empties it in $12$ hours. If all three are opened together, in how many hours will the tank fill? / नल A एक टंकी को $10$ घंटे में भरता है, नल B $15$ घंटे में भरता है और नल C $12$ घंटे में खाली करता है। यदि तीनों एक साथ खोल दिए जाएँ, तो टंकी कितने घंटे में भरेगी?
Correct Answer: $12$ hours / $12$ घंटे
Net rate = $1/10$ + $1/15$ - $1/12$ = $1/12$ per hour, so the tank fills in $12$ hours. / शुद्ध दर = $1/10$ + $1/15$ - $1/12$ = $1/12$ प्रति घंटा, इसलिए टंकी $12$ घंटे में भरेगी।