Math, asked by AP26, 1 year ago

Two taps A and B can together fill a swimming pool in 15 days. The taps A and B are kept open for 12 days and then the tap B is closed. It took another 8 days for tap A to fill the pool. How many days does each tap require to fill the pool?

Answers

Answered by Geekydude121
5
According to question

1/A + 1/B = 1/15     Eqn 1

Also

A + B = 12      

Taking LCM in Eqn 1 and putting the value
A + B/ AB  = 1/15
AB/ A+B = 15
AB = 15 *12
 AB = 180

Also

1/A+8 = 1/B
Thus
B = A + 8
So
B^2- 8B-180 = 0
B(B-18) +10 (B-18) = 0
Thus B= 18
and   A = 6

sam404: What is B^2??
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