SOLUTION: A tank has three pipes connected. The first, by itself, could fill the tank in 2 1/2 hr , the second in 2h , and the third in 1hr and 40 min . In how many minutes will the tank b

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A tank has three pipes connected. The first, by itself, could fill the tank in 2 1/2 hr , the second in 2h , and the third in 1hr and 40 min . In how many minutes will the tank b      Log On

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Question 1055492: A tank has three pipes connected. The first, by itself, could fill the tank in 2 1/2 hr , the second in 2h , and the third in 1hr and 40 min . In how many minutes will the tank be filled?
Answer by ikleyn(52908) About Me  (Show Source):
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A tank has three pipes connected. The first, by itself, could fill the tank in 2 1/2 hr , the second in 2h ,
and the third in 1hr and 40 min . In how many minutes will the tank be filled?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1.  2 1%2F2 h = 150 minutes.

    2 hours = 120 minutes.

    1 hour 40 minutes = 100 minutes.


2.  1-st pipe fills 1%2F150 of the tank volume per minute.

    2-nd pipe fills 1%2F120 of the tank volume per minute.

    3-rd pipe fills 1%2F100 of the tank volume per minute.


3.  The three pipes fill  1%2F150+%2B+1%2F120+%2B+1%2F100 = 4%2F600+%2B+5%2F600+%2B+1%2F600 = 10%2F600 = 1%2F60 of the tank volume per minute.


4.  Hence, it will take 60 minutes = 1 hour for the three pipes to fill the tank.

Solved.

A wide variety of similar joint-work problems were solved for you with detailed explanations in the lessons
    - Using Fractions to solve word problems on joint work,
    - Solving more complicated word problems on joint work,
    - Selected joint-work word problems from the archive
in this site.

Read them and get be trained in solving joint-work problems.

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The referred lessons are the part of this textbook under the topic "Rate of work and joint work problems" of the section "Word problems".