LIVE Course for free

Rated by 1 million+ students
Get app now
JEE MAIN 2023
JEE MAIN 2023 TEST SERIES
NEET 2023 TEST SERIES
NEET 2023
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
113 views
in Commercial Mathematics by (31.5k points)
closed by

Tap A can fill a cistern in 8 hours and tap B can empty it in 12 hours. How long will it take to fill the cistern if both of them are opened together?

1 Answer

+1 vote
by (31.0k points)
selected by
 
Best answer

Number of hours Tap A requires to fill an empty tank : 8 hours 

Number of hours Tap B requires to empty the full tank : 12 hours

Amount of water filled by Tap A in empty tank in one hour: \(\frac{1}{8}\)

Amount of water Tap B empties in one hour: \(\frac{1}{12}\)

Amount of water filled by Tap A and Tap B together in one hour: \(\frac{1}{8}-\frac{1}{12}=\frac{1}{24}\)

∴ They can fill the tank together in 24 hours.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...