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Computer Science
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Time and Work
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
8 hours
10 hours
12 hours
24 hours
Show Answer
Correct Answer:
12 hours
Explanation:
A's 1 hour's work =
1
;
4
(B + C)'s 1 hour's work =
1
;
3
(A + C)'s 1 hour's work =
1
.
2
(A + B + C)'s 1 hour's work =
❨
1
+
1
❩
=
7
.
4
3
12
B's 1 hour's work =
❨
7
-
1
❩
=
1
.
12
2
12
∴ B alone will take 12 hours to do the work.
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