Home » Aptitude » Time and Work » Question
  1. A, B and C together can complete a piece of work in 30 minutes. A and B together can complete the same work in 50 minutes. C alone can complete the work in
    1. 60 minutes
    2. 75 minutes
    3. 80 minutes
    4. 150 minutes
Correct Option: B

Work done by (A + B + C) in 1 minute =
1
30

Work done by (A + B) in 1 minute =
1
50

∴ Work done by C alone in 1 minute =
1
-
1
3050

Work done by C alone in 1 minute =
5 - 3
150

Work done by C alone in 1 minute =
2
=
1
15075

∴ C alone will complete the work in 75 minutes.
Second method to solve this question ,
Here , x = 50 , y = 30
C alone can do in =
xy
x - y

C alone can do in =
50 × 30
= 75 minutes
50 - 30



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