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Answer:
Step-by-step explanation:
Suppose Y can finish a work in x days.
X can finish the work in (x - 3) days.
X's 1 day's work =
1
x−3
X's 4 days work =
4
x−3
Remaining work = 1−
4
x−3
=
x−7
x−3
Y can finish 1 work in x days.
Y can finish 1 work in
x−7
x−3
= x*
x−7
x−3
days.
By hypothesis,
x*
x−7
x−3
+4 = 14
x2−17x+30=0
x = 2 or X = 15
So,X can finish the work in 15 days.
Y can finish the work in x - 3 = 15 - 3 = 12.
Hence, X and Y can individually finish the work in 15 or 12 days respectively.
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