Question

4. If a pipe A can fill a tank in 40 minutes and pipe B fill
the same tank in 30 minutes. How long will it take for both
pipes together to fill the tank?

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Answer 1

SOLUTION:-

$\bf\underline{\underline{\red{Question:-}}}$

⠀⠀⠀⠀⠀• If a pipe A can fill a tank in 40 minutes ⠀⠀⠀⠀⠀and pipe B fill the same tank in 30 ⠀⠀⠀⠀⠀minutes. How long will it take for both

⠀⠀⠀⠀⠀pipes together to fill the tank?

$\bf\underline{\underline{\blue{Answer:-}}}$

⠀⠀⠀⠀⠀• 7/120

$\bf\underline{\underline{\orange{Given:-}}}$

⠀⠀⠀⠀⠀• Pipe A can fill a tank in 40 minutes.

⠀⠀⠀⠀⠀• Pipe B can fill a tank in 30 minutes.

$\bf\underline{\underline{\purple{To\:Calculate:-}}}$

⠀⠀⠀⠀⠀• Time Taken by both pipe.

$\bf\underline{\underline{\green{Explanation:-}}}$

Time Taken by Pipe A to fill the Tank = 40 min

Time Take by Pipe B to fill the Tank = 30 min

Work Done by Pipe A in 1 minute = 1/40

Work Done by pipe B in 1 minute = 1/30

Work Done By Pipe A and B Together ↴

➺ 1/40+1/30

Take LCM

➺ 3+4 /120

➺ 7/120

Hence:-

⠀⠀⠀⠀⠀• Time Taken by Both Pipe = 7/120 min

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