Question

A cold 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 three taps are opened fully for 3 minutes and the hot water tap closed. How many more minutes will it take to fill the bath.

Answer 1

Answer:

cold water tap can fill a bath in 3 min

so , in one minute it fills = 1/3 bathtub

hot water tap can fill a bath in 4 min

so in one minute it fills = 1/4 bathtub

waste pipe can empty bathtub in 6 min

so in one minute it empty = 1/6 bathtub

all together makes work in one minute = 1/3 + 1/4 - 1/6

= 4/12 + 3/12 - 2/12

= 5 / 12

so it takes , 12/5 minutes

= 2.4 minutes

i. e. 2 minutes 24 seconds

Step-by-step explanation:

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