It takes 20 minutes for pipe A to fill the tank completely and it takes 30 minutes for pipe B to fill the tank completely. If both the inlets are opened together, then how much time will be taken to fill the tank completely?

Open in App

Solution

portion of the tank filled by pipe A in 1 minute = 1/20

A portion of the tank filled by pipe B in 1 minute = 1/30

Total portion filled by both pipe A and B in 1 minute = (1/20 + 1/30) = 1/12

Thus it will take 12 minutes to fill the tank completely if both the inlets are opened together.

Suggest Corrections

Similar questions

Q. A cistern has two inlets A and B which can fill it in 12 minutes and 15 minutes respectively. An outlet C can empty the full cistern in 10 minutes. If all the three pipes are opened together in the empty tank, how much time will they take to fill the tank completely?

Q. Pipes A and B can fill an empty tank in 10 hours and 15 hours respectively. If both are opened together in the empty tank, how much time will they take to fill it completely?

Q. Kim fixed a red and a blue pipe in a tank. The red pipe takes 20 minutes and the blue pipe takes 25 minutes to fill the tank completely. Both the pipes are opened together, but at the end of 5 minutes, the blue pipe is turned off. How much longer will the tank take to fill?

A water tank is two-fifths full. The pipe $A$ can fill a tank in $10 m i n u t e s$ and the pipe $B$ can empty it in $6 m i n u t e s .$ If both the pipes are open, how long will it take to empty or fill the tank completely?

Q. A water tank is

\frac{2}{5}

th full. Pipe

A

can fill the tank in 10 minutes and pipe

B

can empty it in

6

minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

Join BYJU'S Learning Program

It takes 20 minutes for pipe A to fill the tank completely and it takes 30 minutes for pipe B to fill the tank completely. If both the inlets are opened together, then how much time will be taken to fill the tank completely?

portion of the tank filled by pipe A in 1 minute = 1/20 A portion of the tank filled by pipe B in 1 minute = 1/30 Total portion filled by both pipe A and B in 1 minute = (1/20 + 1/30) = 1/12 Thus it will take 12 minutes to fill the tank completely if both the inlets are opened together.

portion of the tank filled by pipe A in 1 minute = 1/20

A portion of the tank filled by pipe B in 1 minute = 1/30

Total portion filled by both pipe A and B in 1 minute = (1/20 + 1/30) = 1/12

Thus it will take 12 minutes to fill the tank completely if both the inlets are opened together.