Problem: A man binds 112 books in one day & his assistant works  $\frac{1}{4}$ as fast. How many days will it take to bind 560 books if each works alone on alternate days?

View all: NATIONAL BANK | OFFICER | RECRUITMENT QUESTION(MATH) SOLVE | 1997

Correct Answer: 8 days

Explanation:

The man binds 112 books in one day

His assistant binds in one day = 112 of $\frac{1}{4}$

= 28 books

They bind in 2 days alternatively = 112 + 28

= 140 books

So, they bind alternatively l40 books in = 2 days

They bind alternatively 560 books in = $\frac{2\cdot560}{140}$

= 8 days

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