Problem: 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work?
View all: JANOTA BANK TELLER (AEO) | WRITTEN QUESTION (MATH) SOLVE | 2015
Correct Answer: 12.5 days.
Explanation:
(2 men + 3 boys)’s 10 days work = (3 men + 2 boys)’s 8 days works
.=> (20 men + 30 boys)’s 1 day work = (24 men + 16 boys)’s 1 day work.
=> 4 men = 14 boys
=> 1 men = $\frac{14}{4}$ boys
=> 2 men = $\frac{14}{4}$ X 2 boys = 7 boys.
2 men + 3 boys = 7 boys + 3 boys = 10 boys
and 2 men +1 boy= 7 boys + 1 boy = 8 boys
10 boys can do the work in = 10 days
8 boys can do the work in = $\frac{10\times 10}{8} = 2\frac{1}{2}$ Or, 12.5 days.