Question

If 3 men and 5 boys can do as much in 17 days as 5 men and 3 boys can do in 15 days, compare the rates of working of a man and a boy.​

Answer 1

Answer:

men will complete work in 1.5 day and boy will complete in 2.5 day

Step-by-step explanation:

let men do work is "m"

and boy do work is "b"

ATQ

3m+5b=17...(1)

5m+3b=15....(2)

from eq (2)

m=15-3b/5..(let it be eq 3)

putting in eq(1)

= 3*15-3b/5 +5b=17

= 45-9b/5+5b=17

= 45-9b+25b/5=17

= 45+16b=17*5

= 45+16b=85

= b=85-45/16

= b= 2.5

putting in eq (3)

=m=15-3*2.5/5

=m=1.5

THANK YOU

hope it is helpful