Question : Pipes A and B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill the cistern, then what will be the respective time in which A and B will fill the cistern separately?
Option 1: 15 min and 10 min
Option 2: 15 min and 20 min
Option 3: 25 min and 20 min
Option 4: 10 min and 15 min
Correct Answer: 10 min and 15 min
Solution :
Let the time taken by A to fill the cistern be
So, the time taken by B to fill the cistern is
Time taken by A and B to fill the cistern = 6 minutes
Part of cistern filled by A and B in a minute
Part of cistern filled by A in a minute
Part of cistern filled by B in a minute
Part of cistern filled by A and B together in a minute
⇒
⇒
⇒
⇒
Time taken by B = 10 + 5 = 15 min
Hence, the correct answer is '10 min and 15 min'.
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