A cold water tap can fill a bath in 6 minutes while a hot water tap can fill it in 12 minutes. The drainage pipe...

      

A cold water tap can fill a bath in 6 minutes while a hot water tap can fill it in 12 minutes. The drainage pipe can empty the bath in 8 minutes. All the three are opened fully for 3 minutes and then hot water tap is closed. How many more minutes will it take to fill the bath?

  

Answers


Davis
Fraction filled when all three are open in 1 minute.
= 1/6 + 1/12 - 1/8 = 1/8
Fraction filled in 3 minutes = 1/8 x 3 = 3/8
Fraction remaining = 5/8
Fraction filled per minute with hot water tap closed
= 1/6 - 1/8 = 1/24
Time taken to fill 5/8 of bath
= (5/8)/(1/24)
= 5/8 x 24
= 15 minutes.
Githiari answered the question on April 3, 2019 at 17:35


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