SOLUTION: Tap X took 8 minutes to fill a tank completely .Tap Z took 12 minutes to fill the same tank completely .If both taps are turned on at the same time to fill 5 such tank , how long w

Algebra ->  Finance -> SOLUTION: Tap X took 8 minutes to fill a tank completely .Tap Z took 12 minutes to fill the same tank completely .If both taps are turned on at the same time to fill 5 such tank , how long w      Log On


   



Question 1044248: Tap X took 8 minutes to fill a tank completely .Tap Z took 12 minutes to fill the same tank completely .If both taps are turned on at the same time to fill 5 such tank , how long will it take.
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
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Tap X took 8 minutes to fill a tank completely .Tap Z took 12 minutes to fill the same tank completely.
If both taps are turned on at the same time to fill 5 such tank , how long will it take.
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Tap X fills 1%2F8 of the tank's volume per minute.

Tap Y fills 1%2F12 of the tank's volume per minute.

Working together, the two taps fill 1%2F8+%2B+1%2F12 = 3%2F24+%2B+2%2F24 = 5%2F24 of the tank volume per minute working together.

It means that the two taps fill the tank in 24%2F5 minutes.

Hence, it will take 5%2A%2824%2F5%29 = 24 minutes to fill 5 tanks if both the taps are turned on.

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