A and B are two taps attach to a cistern. Tap A can fill the cistern in 35mins but the tap B can empty the tank in 55mins. since Aman has started both the taps unknowingly he realized his mistake after 35mins. Then he closes Tap B immediately. After this how much it will take to fill the cistern completely
Answers
Given : A and B are two taps attach to a cistern.
Tap A can fill the cistern in 35mins
the tap B can empty the tank in 55mins.
Aman has started both the taps unknowingly he realized his mistake after 35mins.
Then he closes Tap B immediately.
To Find : After this how much it will take to fill the cistern completely
Solution:
Tap A can fill the cistern in 35mins
Tap A can fill the cistern in 1 mins = 1/35
tap B can empty the tank in 55mins.
tap B can empty the tank in 1 mins. = 1/55
Together can fill in 1 min = 1/35 - 1/55
= (11 - 7)/ 385
= 4/385
Filled in 35 mins = 35 * 4/385
= 4/11
Remaining = 1 - 4/11 = 7/11
Tap A can fill the cistern in 1 mins = 1/35
Tap A fill in T minutes = T/35
T/35 = 7/11
=> T = 35 * 7/11
=> T = 245/11 = 22.27 mins
245/11 = 22.27 mins more required
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