SOLUTION: An Inlet pipe an oil tank in 10 days and a 2nd Inlet pipe can fill the same tank in 12 days. If both pipes are used how long will it take to fill the tank?

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Question 1060806: An Inlet pipe an oil tank in 10 days and a 2nd Inlet pipe can fill the same tank in 12 days. If both pipes are used how long will it take to fill the tank?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F10%2B1%2F12

Find reciprocal, or 1%2F%281%2F10%2B1%2F12%29.

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
An Inlet pipe an oil tank in 10 days and a 2nd Inlet pipe can fill the same tank in 12 days.
If both pipes are used how long will it take to fill the tank?
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Since the first pipe fills the tank in 10 days, it actually fills 1%2F10 of the tank volume per day.

Since the second pipe fills the tank in 12 days, it fills 1%2F12 of the tank volume per day.

When both pipes work together, they fill 1%2F10%2B1%2F12 of the tank volume per day.

1%2F10%2B1%2F12 = 6%2F60+%2B+5%2F60 = 11%2F60.

Hence, it will take 60%2F11 = 5 5%2F11 days for both pipes to fill the tank.

Answer. Two pipes working together will fill the tank in 5 5%2F11 days.

It is a typical word problem on joint work.

For a wide variety of similar solved joint-work problems with detailed explanations see 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.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

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