Latest AFCAT Aptitude Question SOLUTION: A can do 1/2 of a piece of work as B and C does 1/2 as mch work as A and B together.If C alone can finish the work in 40 days,then together all will finish the work in- a)30 days b

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(#M40157204) AFCAT Numerical Ability question maths Keep an EYE

A can do 1/2 of a piece of work as B and C does 1/2 as mch work as A and B together.If C alone can finish the work in 40 days,then together all will finish the work in-
a)30 days
b)13+1/3days
c)15 days
d)20 days

Asked In AFCAT ABHISHEK KUMAR (8 years ago)

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Read Solution (1) :

Neha Sharma  (8 years ago)

A= 1/2 B
C=1/2 (A+B)
C=3/4 B
C Finishes in 40 days
So, C's efficiency = 100/40 =5/2% per day
SINCE C=3/4B
B's efficiency = 10/3% per day
A's efficiency = 1/2 B= 5/3 % per day

Total efficiency of A,B and C = 5/3%+ 10/3%+5/2%
= 45/6
=15/2

so days taken my all to complete = 100/(15/2)
= 200/15
= 40/3
= 13 (1/3)

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