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If A and B are taps that fill a tank in 36 and 48 minute respectively. Both taps were to be opened, however after x minutes B was switched off. If the tank was completely filled 24 minutes after both taps were opened, then find x.

 Jan 26, 2021
 #1
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A  fills     1/36 of the tank in one minute

B fills     1/48   of the tank in one  minute

 

After 24 minutes   tank A  been opened the whole time and  had filled    (1/36) * 24  =   24/36 = 2/3   of the tank

 

So   in   x minutes, tank B  must  have filled  the other 1/3 of the tank

 

So

 

(1/48) x  = 1/3             mutiply both sides  by 48

 

x  = 48/ 3 =   16  minutes

 

 

cool cool cool

 Jan 26, 2021

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