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Verbal Reasoning
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Aptitude
General Knowledge
Verbal Reasoning
Computer Science
Interview
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Time and Work
X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?
13 1 days 3
15 days
20 days
26 days
Show Answer
Correct Answer:
13 1 days 3
Explanation:
Work done by X in 8 days =
❨
1
x 8
❩
=
1
.
40
5
Remaining work =
❨
1 -
1
❩
=
4
.
5
5
Now,
4
work is done by Y in 16 days.
5
Whole work will be done by Y in
❨
16 x
5
❩
= 20 days.
4
∴ X's 1 day's work =
1
, Y's 1 day's work =
1
.
40
20
(X + Y)'s 1 day's work =
❨
1
+
1
❩
=
3
.
40
20
40
Hence, X and Y will together complete the work in
❨
40
❩
= 13
1
days.
3
3
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