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Time and Work - General Aptitude

Q1:

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

A 11 days

B 13 days

C
20 3 days
17

D None of these

ANS:B - 13 days

Ratio of times taken by A and B = 100 : 130 = 10 : 13. Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x     =>     x = ( 23 x 13 )     =>     x = 299 .
10 10
A's 1 day's work = 1 ;
23
B's 1 day's work = 10 .
299
(A + B)'s 1 day's work = ( 1 + 10 ) = 23 = 1 .
23 299 299 13
Therefore, A and B together can complete the work in 13 days.