Symbiosis National Aptitude Test SNAP 2013 Paper

A +B 1 day’s work =

1

20

... (i)
B + C 1 day's work =

1

30

... (ii)
C + A 1 day's work =

1

40

... (iii)
Adding eqs. (i), (ii) and (iii)
2 (A + B + C) =

1

20

+

1

30

+

1

40

2 (A + B + C) =

6+4+3

120

⇒ A + B + C 1 day work together =

13

240

A’ Alone 1 day’s work
= (A + B + C) 12 day’s work – (B + C) 1 day’s work
A =

13

240

−

1

30

⇒

13−8

240

=

5

240

Number of days taken by A =

240

5

days
C ’ Alone 1 day’s work
= (A + B + C) 12 day’s work – (A + B) 1’ day’s work
⇒

13

240

−

1

20

⇒

13−12

240

=

1

240

Number of days taken by C =

240

1

days
Required Ratio

240

5

:

240

1

⇒ 1 : 5