Question

Question #2622d

Answer 1

`8 4/7` minutes

Explanation:

First tap filled in 1 minute = 1/60th parts of the tub.
Second tank filled in 1 minute = 1/30th parts of the tub.
Third tap filled in 1 minute = 1/15th parts of the tub.
3 taps together filled in 1 minute = `1/60+1/30+1/15 = (1+2+4)/60 = 7/60`th parts of the tub.
So whole tub will filled =`1÷7/60=1*60/7=8 4/7` minutes.

Answer 2

To fill the whole tub all `3` taps will take `8 4/7` minutes.

Explanation:

`1` hour`=60` minutes and `1/2` hour`=30` minutes

In `1` minute `1`st tap fills `1/60` th part of bath tub.

In `1` minute `2`nd tap fills `1/30` th part of bath tub.

In `1` minute `3`rd tap fills `1/15` th part of bath tub.

In `1` minute all `3` taps fill `F=(1/60+1/30 +1/15)= 7/60` th

part of bath tub. So to fill the whole tub all `3` taps will take

`1/F or 1/(7/60)=60/7 = 8 4/7`minutes. [Ans]