147k views
4 votes
pipe A can fill a tank in 3 hours. if pipe B can fill the same tank in 2 hours, how many minutes will it take both pipes to fill 2/3 of the tank​

User Carola
by
8.4k points

2 Answers

2 votes

Answer:

  1. pipe A =3. pipe B=2 find LCM of 3 and 2 . it will be 6 . Then take 6×2/3 it will give you 4 minutes as the answer
User Matt Scheurich
by
7.8k points
3 votes

Answer:

48 minutes

Explanation:

The rate of filling from both pipes is the sum of the rates in units of tanks per hour. We want the time for 2/3 of a tank.

Sum of rates

The sum of the filling rates is ...

rate A + rate B = (1/3) tank/hour + (1/2) tank/hour = 5/6 tank/hour

Fill time

The time to fill a tank or part thereof will be the number of tanks divided by the rate in tanks per hour:

time = (2/3 tank)/(5/6 tank/hour) = ((4/6)/(5/6)) hour = 4/5 hour

There are 60 minutes in an hour, so the fill time is ...

(4/5 hour)×(60 min/hour) = 48 min

It will take 48 minutes for both pipes to fill 2/3 of the tank.

User Xetorthio
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories