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