# Two pipes A and B can fill a tank in 24 hours and 30 hours respectively

Two pipes A and B can fill a tank in 24 hours and 30 hours respectively. If both the pipes are opened simultaneously in the empty tank, how much time will be taken by them to fill it?

(a) 13 hour 20 min

(b) 12 hour 10 min

(c) 14 hour

(d) 10 hour 5 min

**Answer: (a) 13 hour 20 min **

**Solution:-**

Pipe A can fill a tank = 24 hours

Therefore, pipe A can fill same tank in an hour = 1/24

Pipe B can fill same tank = 30 hours

Therefore, Pipe B can fill same tank in an hour = 1/30

So, Both pipe can same tank in an hour = 1/24 + 1/30

= (5 + 4)/120

= 9 /120

= 3/40

Then, Both pipe can fill same tank = 40/3 = 13 hour and 20 min.

Hence, the correct answer is option (a) 31 hour and 20 min