Question

A tap can fill a tank of 30 litres in 6 hours. In how many hours it can fill a tank of capacity 45 litres

Answer 1

Hi there !!

The following question is of the topic direct and inverse proportions

Solution:
Let x be the capacity of tank in litres
y be the time taken to fill the tank



capacity (in Litres ). 30 45
Time taken(hrs). 6 y2

it is observed that as the capacity of the tank increases , the time taken to fill it also increases

So,
The time taken is directly proportional to the capacity

using the formula, we have

$\frac{30}{6} = \frac{45}{y2}$


$y2 = \frac{45 \times 6}{30}$
y2 = 9

Thus,

the time taken to fill is 9 hours

Answer 2

time       volume

30   -      6
45   -       ?

6 x45/30

= 9 hours

in 9 hours it can fill a tank of capacity 45 litres