Question

A water tank is filled in 12 hours by water falling from 4 pipes of same diameter. What will be time taken to fill the same water tank when only 3 such pipes are opened at the beginning when the tank is empty?




Spams and copied answer will be reported ❎❎​

Answer 1

★Answer :-

• It will take 16 hrs to fill the water tank with 3 pipes .

★Step-by-step-Explaination :-

★Given :-

• 4 pipes of same dimensions can fill a water tank in 12 hours .

Then ,

★Find :-

• 3 pipes of same dimensions can fill a water tank in how much hours .

★Solution :

• There are two processes to solve this :-

1. Unitary Method .
2. Direct & Indirect Variation .

Basically when we are small we come to know about Unitary Method . Which is the simplest method of solving it . But it is not the purest method of solving . So , later we come to know about Direct and Indirect Variation . Let me solve both process :-

✪Unitary Method :-

• $\rm \: { \bf4 \: pipes} \: can \: fill \: a \: water \: tank \: in \: \bf 12 \: hours .$
• $\rm \: { \bf1 \: pipe} \: can \: fill \: a \: water \: tank \: in \: \bf 12 \times 4\: hours .$
• $\rm \: { \bf3 \: pipes} \: can \: fill \: a \: water \: tank \: in \: \bf \dfrac{12 \times 4}{3}\: hours .$
• $\rm \: { \bf3 \: pipes} \: can \: fill \: a \: water \: tank \: in \: \bf {4 \times 4}\: hours .$
• $\rm \: { \bf3 \: pipes} \: can \: fill \: a \: water \: tank \: in \: \bf {16}\: hours .$

$\rm \therefore\: { \bf3 \: pipes} \: can \: fill \: a \: water \: tank \: in \: \bf {16}\: hours .$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

✪Direct & Indirect Variation :-

• 4 pipes of same dimensions can fill a water tank in 12 hours .

Then ,

• 3 pipes of same dimensions can fill a water tank in how many hours .

So ,

• Let the Time taken by 3 pipes to fill a water tank be " x " hrs .

Now ,

Lesser will be the no. of pipes , More will be the time taken to fill the tank .

Hence , it is a case of direct variation i.e. they are inversely proportional .

❍ Kindly check the attachment , how can we get the equation .

The Equation thus formed is :-

$\sf \: 4 \times 12 = 3 \times x$

Now , solving for X :-

$\rm \: 4 \times 12 = 3 \times x$

Now , 3 comes to L.H.S

$\rm \: \implies \dfrac{4 \times 12}{3} = x$

Now 12 will be simplified to 4 as there is denominator 3 ,

$\rm \: \implies{4 \times 4}= x$

So , that becomes

$\rm \: \implies \bf{16}= x$

$\rm \: \bf \: \underline{ x = 16} \: \bigstar$

Therefore , 3 pipes can fill a water tank in 16 hrs .

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer 2

Answer :-

It will take 16 hrs to fill the water tank with 3 pipes .

Hope it is Helpful to you

♥️♥️Thank you♥️♥️