Question

tap A fills a tank in 6 hours tap B fills it in 8 hours and tap C empties it in 10 hours. starting with an empty tank and all the three taps are opened find how long it takes to fill the tank?​

Answer 1

It will take 5 hours and 5 minutes to fill the tank

Explanation:

Here, we want to get how long it takes to fill the tank

Let us have the capacity of the tank as 120 l

For the first tank, the number of liters filled per hour is 120/6 = 20 l

For the second, the number of liters filled per hour is 120/8 = 15 l

For the draining tap, the amount drained in an hour is 120/10 = 12 l

So total input is (15 + 20) = 35 l

Output is 12 l

Hourly retention is 35-12 = 23 l

To complete total 120 l, time taken will be;

120/23 = 5 5/23

So what this mean is that it will take 5 hours and 5 minutes