Symbiosis National Aptitude Test SNAP 2015 Paper

Question : 11 of 150

Marks: +1, -0

A, B and C can do a piece of work individually in 8, 12 and 15 days, respectively. A and B start working together but A quits after working for 2 days. After this, C joins and works till completion of the work. In how many days, will the work be completed?

$3 8/9$ days
$5 8/9$ days
$5 2/3$ days
$6 1/{18}$ days

Validate

Solution:

A’s 1 day work =

1/8

B’s 1 day work =

1/{12}

C’s 1 day work =

1/{15}

Work done by A and B together in 2 days
=

2(1/8+1/{12})

5/{12}

Remaining work =

1 - 5/{12}

7/{12}

Work done by B and C together in 1 day
=

1/{12}+1/{15}

3/{20}

So, time taken by B and C to complete the remaining work together =

7/{12} × {20}/3

{35}/9

days
∴ Total time taken by A, B and C together
=

2 + {35}/9

5 8/9

days

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