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: PUBALI BANK (SO) | WRITTEN QUESTION (MATH) SOLVE | 2014
Correct Answer: 12.5 days.
Explanation:
(2 men + 3 boys)’s 10 days work = (3 men + 2 boys)‘: 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 2men+ l boy= 7 boys +1boy= 8 boys
10 boys can do the work in = 10 days
8 boys can do the work in =$\frac{10×10}{8}$= 12.5 days.