[A]. 4 days
[B]. 5 days
[C]. 6 days
[D]. 7 days
✅ The correct answer is option A.
Let 1 man’s 1 day’s work = x and 1 boy’s 1 day’s work = y.
Let 1 man’s 1 day’s work = x and 1 boy’s 1 day’s work = y.
Then, 6x + 8y =
1
and 26x + 48y =
1
.
10
2
Solving these two equations, we get : x =
1
and y =
1
.
100
200
(15 men + 20 boy)’s 1 day’s work =
15
+
20
=
1
.
100
200
4
15 men and 20 boys can do the work in 4 days.