Question

8. Atap can fill an empty tank in 48 minutes, whereas
another tap can empty the full tank in 2 hours.
If both the taps are opened at 11:40 a.m, when
will the empty tank be filled ?​

Answer 1

$\huge {\bold {\mathbb {\overline {\underline {QUESTION}}}}}$

A tap can fill an empty tank in 48 minutes, whereas another tap can empty the full tank in 2 hours. If both the taps are opened at 11:40 a.m, when will the empty tank be filled ?

$\huge {\bold {\mathbb {\overline {\underline {ANSWER}}}}}$

$\frac{1}{48} - \frac{1}{120} \\ = \frac{5}{240} - \frac{2}{240} \\ = \frac{3}{240} (interchange \: it) \\ = \frac{240}{3} \\ = 80 \: mins.$

Thus the time taken to fill the empty tank

= 11.40 + 80

= 1 pm

•●Hope it helps you dear●•

Answer 2

Answer:

1:00 PM

Step-by-step explanation:

1 min. filling =1/48

1 min. empty=1/(2*60)

In 1 min. tank will be filled = (1/48)-[1/(2*60)]=1/80

So tank will completely filled in 80 min. from the start.

So , 11:40 + 80 min = 1:00 PM