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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 of the tank volume per day.
Since the second pipe fills the tank in 12 days, it fills of the tank volume per day.
When both pipes work together, they fill of the tank volume per day.
= = .
Hence, it will take = days for both pipes to fill the tank.
Answer. Two pipes working together will fill the tank in 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".