Question

7
5. A tap can fill a overhead water tank in 40 minute and another tape can fill it in 60 minute. The two
taps are opened simultaneously. How long will they take to fill the tank?​

Answer 1

Answer:

Answer is 20

Step-by-step explanation:

one time is film by 40 minute

another tank is filled in 60 minute

so, 60-40=20

Answer 2

${\pmb{\underline{\sf{ Required \ Solution ... }}}}$

• Both tap fill water tank in 40 minutes & 60 minutes Respectively.

$\\ {\pmb{\underline{\sf{ Conditions ... }}}}$

If both the taps open simultaneously then the efficiency of work will increase as 2 times then Tank will fill fast as compared to the earlier.

$\\ {\pmb{\underline{\sf{Supposition ... }}}}$

Let the Water Tank will take x minute to fill.

$\\ {\pmb{\underline{\sf{Final \ Solution ... }}}}$

• Work of Tap A in one minute = ${\sf{ \dfrac{1}{40} }}$

• Work of Tap B in one minute = ${\sf{ \dfrac{1}{60} }}$

Now, We can add both work together as:

$\colon\implies{\sf{ \dfrac{1}{40} + \dfrac{1}{60} = \dfrac{1}{x} }} \\ \\ \\ \colon\implies{\sf{ \dfrac{3+2}{120} = \dfrac{1}{x} }} \\ \\ \\ \colon\implies{\sf{ \dfrac{5}{120} = \dfrac{1}{x} }} \\ \\ \\ \colon\implies{\sf{ \cancel{ \dfrac{120}{5} } = x }} \\ \\ \\ \colon\implies{\sf{ x = 24_{(Minutes)} }}$

Hence,

${\pmb{\underline{\sf{ The \ Water_{(tank)} \ will \ take \ 24 \ minutes \ to \ Fill. }}}} \bigstar$