A Can Complete A Work Alone In 10 Days. A & B Together Complete It In 8 Days. How Many Days Can B Alone Complete The Same Work? - Testpoint

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A can complete a work alone in 10 days. A & B together complete it in 8 days. How many days can B alone complete the same work?

30 days
40 days
20 days
25 days

Explanation

Step 1: A’s 1-day work

$A =1/ 10 of work per day$

Step 2: A + B’s 1-day work

$A + B = 1/8 of work per day$

Step 3: B’s 1-day work

$B = (A + B) - A = 1 - 1/10$

Find LCM of 8 and 10 = 40:

$1/8 =5/ 40, 1/10 = \frac{40}{4/}$ $B = - =1/ 40 of work per day$

Step 4: Days B alone will take

$Days = 1/ B’s 1-day work =1/1/ 40 = 40 days$

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