Problem: A cistern can be filld in 10 hours but it takes 12 hours due to a leak in its \bottom. If ‘the cistern is full, then how much time the leak will take to empty the cistern?
View all: ASIA BANK WRITTEN QUESTION (MATH) SOLVE | 2016
Correct Answer: ans: 60 hours time is needed for the leak to empty the cistern.
Explanation:
As the cistern can be filld in 10 hours but it takes 12 hours due to a leak in its \bottom
Work done by the cistern in 1 hour = ($\frac{1}{10} -\frac{1}{12}$)
= $\frac{6-5}{60}$
= $\frac{1}{60}$
$\frac{1}{60}$ Part of the cistern is emptied in 1 hour
1 or Full part of the cisterm is emptied in =$\frac{1×60}{1}$ = 60 hours