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Pipe A will fill a tank in 6 hours. Pipe B will fill the same tank in 4 hours. Pipe C will fill the tank in the same number of hours that it will take Pipes A and B working together to fill the tank. What fraction of the tank will be filled if all three of the pipes work together for one hour?

 May 22, 2020
 #1
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We need to  first  find  out  how long  it  will take A and B working together to fill the tank....this  is easy

 

A  fills    1/6  of the tank in one hour

B fills  1/4  of  the tank in one hour

 

Add these fractions   =   (1/6) + (1/4)  =  10/24   =  5/12  =  portion of tank filled by both working together in one hour

 

Time  for  A  and B  ti fill the tank  =  12/5  hrs

 

So.....C  fills   1 / (12/5)  =  5/12 of the tank in one hr

 

So....if all  three  work together    (5/12)  + (5/12)  =  10/12  =  5/6  of the tank is filled in one hour

 

 

 

 

cool cool cool

 
 May 22, 2020

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