Question

K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ?

Answer 1

Let A completes the work in X days .

Then according to question, B completes the same work in 2X days.

Now let us formulate this.

1/A + 1/B = 1/8 ……(Given)

1/X + 1/2X = 1/8

Taking LCM

2/2X + 1/2X = 1/8

3/2X = 1/8

2X/3 = 8

2X = 24

X = 12

So A will complete the work alone in 12 Day

Answer 2

$\huge{\boxed{\red {\bf{Answer}}}}$


$<b>$
1/A + 1/B = 1/8 ……(Given)

1/X + 1/2X = 1/8

Taking LCM

2/2X + 1/2X = 1/8

3/2X = 1/8

2X/3 = 8

2X = 24

X = 12

So A will complete the work alone in 12 Day


$\huge\underline{\green {\textbf{12 day}}}$

$<font color = purple>$

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