Question

tap a can fill a swimming pool in 12 minutes, b in 9 minutes and tap c can empty it in 18 minutes . if all 3 are opened how long will it take to fill the pool​

Answer 1

Answer:

33/4

Step-by-step explanation:

According to the question, we have:

12A=1 and

15B=1

Then, together:

60A=5

60B=4

60A+60B=5+4=9

60/9A+60/9B=1

The two taps, running simultaneously, can fill the bucket in 60/9 minutes…meaning they fill 9/60ths of the bucket per minute.

After 3 minutes, they have filled 3 x 9/60, or 27/60=9/20ths of the bucket, leaving 11/20ths of the bucket to be filled.

Tap B fills 1/15th of the bucket per minute. So, to fill the rest of the bucket will take:

11/20 / 1/15=165/20, or 33/4 minutes

PLS MARK AS BRILLIANT