Question #2622d

2 Answers
Dec 4, 2017

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 = 7/60th parts of the tub.
So whole tub will filled = 1÷7/60=1*60/7=8 4/7 minutes.

Dec 4, 2017

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

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

In 1 minute 3rd 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 4/7minutes. [Ans]