Pipe A that can fill a tank in two hour and pipe B that can fill the tank in an hour are opened simultaneously when the tank is empty. Pipe B is shut 30 minutes before the tank overflows. When will the tank overflow? Choose the most appropriate option
A) 36 mins  B) 35 mins  C) 40 mins  D) 32 mins  E) 30 mins
The last 30 minutes only pipe A was open. Since it needs 2 hour to fill the tank, then in 30 minutes it fills 1/4th of the tank, thus 3/4 of the tank is filled with both pipes open.   The combined rate of two pipes is  1 + 2= 
<gadget id="calculator"> 1 + 2</gadget>
<output>3</output>
3 tanks/hour, therefore to fill 3/4th of the tank they need (time)= (work)/(rate) = (3/4)/3 = 1/4 hours = 15 minutes.   Total time = 15 + 15= 
<gadget id="calculator">15 + 15</gadget>
<output>30</output>
30 minutes.   Answer: 30 mins
<result>E</result>
Pipe A that can fill a tank in two hour and pipe B that can fill the tank in an hour are opened simultaneously when the tank is empty. Pipe B is shut 30 minutes before the tank overflows. When will the tank overflow?