Management Aptitude Test Dec 2012 Paper

Question : 81 of 200

Marks: +1, -0

Mathematical Skills

A and B can separately do a piece of work in 20 and 15 days, respectively. They worked together for 6 days, after which B was replaced by C. If the work was finished in the next 4 days, then the number of days in which C alone could do the work will be

60 days
40 days
35 days
30 days

Validate

Solution:

(b) Work done by A and B in 6 days = 6 ×

(1/20+1/15)

= 6 ×

7/60 = 7/10

∴ Remaining work = 1 -

7/10 = 3/10

If C is able to do the work in n days, then

4/20+4/n=3/10

⇒

4/n = 3/10-1/5

{3-2}/10 = 1/10

⇒ n = 40 days

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