Question
Download Solution PDFTwo taps J and L can fill a tank alone in 10 minutes and 12 minutes respectively. If an outlet tap K is opened and all three taps work together, then the same tank will be filled in 15 minutes. How much time will tap K alone take to empty the same tank?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two taps J and L can fill a tank alone in 10 minutes and 12 minutes respectively.
An outlet tap K is opened and all three taps work together, then the same tank will be filled in 15 minutes.
Concept used:
Efficiency = (Total work / Total time taken)
Efficiency = work done in a single day
Calculation:
Let total work is 60 units ( LCM of 10,12 and 15)
The efficiency of J is, 60 /10 = 6
The efficiency of L is, 60 /12 = 5
Combined efficiency is, 60 /15 = 4
The efficiency of K is, 6 + 5 - 4 = 7 unit
So, K alone can empty it in 60 / 7 minutes
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