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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
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
18 days
24 days
30 days
36 days
Show Answer
Correct Answer:
18 days
Explanation:
2(A + B + C)'s 1 day's work =
❨
1
+
1
+
1
❩
=
15
=
1
.
30
24
20
120
8
Therefore, (A + B + C)'s 1 day's work =
1
=
1
.
2 x 8
16
Work done by A, B, C in 10 days =
10
=
5
.
16
8
Remaining work =
❨
1 -
5
❩
=
3
.
8
8
A's 1 day's work =
❨
1
-
1
❩
=
1
.
16
24
48
Now,
1
work is done by A in 1 day.
48
So,
3
work will be done by A in
❨
48 x
3
❩
= 18 days.
8
8
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