Question

Tap a fills a tank in four hours, and tap b empities the same tank in six hours. When both of the tabs are opened together, the tank will be filled up within:

Answer 1

Answer:

12 hours

Step-by-step explanation:

Tap A can fill a tank of capacity C in = 4 hours

Tap B can empty a tank of capacity C in = 6 hours

Capacity Tap A can fill the tank in 1 hour = C/4

Capacity Tap B can empty the tank in 1 hour = C/6

Quantity Tap A and Tap B together can fill the tank of capacity C = C/4 - C/6 = C/12

So both the taps can fill a quantity of C/12 of the tank with capacity C in 1 hour

1 hour — C/12

? How many hours — C

Number of hours both the taps together need to fill the tank with capacity C = (C x 1)/C/12 = 12 hours

Therefore, together they are gonna take 12 hours to fill the tank.