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Tap A can fill the tank in 6 minutes and tap B in 3 minutes. how long will both tapes take to fill the tank if opened at the same time.
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Tap A fills of the tank volume in one minute when works alone. Its rate is of the tank volume per minute.
Tap B fills of the tank volume in one minute when works alone. Its rate is of the tank volume per minute.
When both taps work together, they fill of the tank volume per minute.
In other words, their combined rate is the sum of their individual rates = = = .
It means that two taps fill of the tank volume per minutes.
Now it is clear that it takes 2 minutes for both taps to fill the tank.
Answer. It will take 2 minutes for both taps to fill the tank.
The problem is solved.
You can find many other similar solved joint-work problems 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 become an expert in solving joint-work word problems.