SSC CHSL Model Paper 19

Question : 62 of 99

Marks: +1, -0

A can do a piece of work in 12 days and B in 20 days. If they together work on it for 5 days, and remaining work is completed by C in 3 days, then in how many days can C do the same work alone?

10 days
9 days
12 days
15 days

Validate

Solution:

Work done by (A + B) in 5 days

=5(1/12+1/20)=5({5+3}/60)

=40/60=2/3

Remaining work =

1-2/3=1/3

∵ Time taken by C in doing

1/3

work = 3 days
∴ Required time

= 3×3 = 9

days

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