Question

if 30 men and 14 boys can reap a field in 21 days,in how many days will 20 men and 4 boys reap it,supposing that 3 men can do as much as 5 boys?

Answer 1

Let the work done by One Man be x and boy be Y

Then According to question
3X = 5Y


Amount of work done in one day = 1/21
So, One Man work = 30x + 14×(3X/5) = 1/21
X = 5/4032
Let M be the no. of days taken to reap
then amount of work done in 1 day = 1/M
so, 1/M = 20× ( 5/4032) + 4 {3×(5/4032) / 5}
M = 36days