Question

tap A fills a tank in 4 hours a day can do a piece of work in 18 days. how many people can work 9 hours in 10 days?​

Answer 1

Answer:

6 hrs

Step-by-step explanation:

Time is taken by A to fill a tank = 4 hours

While a leak (1/4)th of the height of the tank from the bottom can empty = 2 hours

Calculation:

Time is taken by B to empty tank (3/4)th part = 2 hours

⇒ The efficiency of B = (3/4)/2 = 3/8

∴ Combined efficiency = (1/4) - (3/8) = -1/8 (Negative sign shows leak in the pipe)

⇒ Time required by both pipes to empty (3/4)th  of a tank = (3/4)/(1/8)

⇒ Time required by both pipes to empty (3/4)th  of a tank = 24/4 = 6

∴ The required answer is 6 hours