Given: A = 50% more efficient than B
C =
of work done by A and B together
C alone can do the work in = 40 days
Calculation: (A’s one day’s work) : (B’s one day’s work)
⇒ 150 : 100
⇒ 3 : 2
Let A’s one day’s work be 3x and B’s one day’s work be 2x.
∴ According to the question
C’s one day’s work =
⇒
=
⇒ x = (
) ×
⇒ x =
A’s one day’s work be 3/100 and B’s one day’s work be
.
∴ (A + B + C)’s one day’s work:
⇒
+
+
⇒
⇒
= (A + B + C)'s one day work
A, B, C can complete the whole work in
days.
∴ A, B, and C can complete the work in days.