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- 26. A is thrice good a workman as B and therefore is able to finish a job in 60 days less than B. Working together they can do it in?
A.20
B.22 ½
C.25
D.30
Answer & Explanation
Answer: Option B 
Ratio of times by A and B= 1:3
difference of time is 2 days B takes 3 days if diff of time is 60 days B takes 3/2 *60 =90 days
A’s 1day work is=1/30
B’s 1 day work =1/90
(A+B )’s one day work is=1/90 +1/30 =2/45
together can do work in 45/2 = 22 ½ days
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- 27. 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
B.13
C.20 3/17
D.None of these
Answer & Explanation
Answer: Option B
Ratio of times taken by A and B= 100:130 =10:13
suppose B takes x days to work the 10:13::23:x =>x=23 x 13/10 = 299/10
A’s one day work = 1/23 and B’s is 10/299
Then A+B ‘s work = 1/23 + 10/299 = 23/299 =1/13 => 13 days
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- 28. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days then the fraction of the work that is left is?
A.1/4
B.1/10
C.7/15
D.8/15
Answer & Explanation
Answer: Option D
A’s one day work = 1/15
B’s one day work = 1/20
(A+B )’s one day work is = 1/15 +1/20 = 7/60
their 4 days work = 4 x 7/60 = 7/15
Remaining work = 8/15
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- 29. X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days how long will they work together take to complete the work?
A.13 1/3
B.15
C.20
D.56
Answer & Explanation
Answer: Option A
Work done by x in 8 days= 8/40 = 1/5
remaining work= 4/5
4/5 work is done by Y in 16 days
whole work is done by Y in 16*5/4 = 20 days
X’s 1 day work =1/40
Y’s 1 day work =1/20
(X+Y)’s 1 day work=1/40 +1/20 = 3/40 = 13 1/3
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- 30. A alone can complete a work in 16 days and B alone can complete in 12 days. Starting with A they work on alternate days. The total work will be completed in?
A.12
B.13
C.13 5/7
D.13 ¾
Answer & Explanation
Answer: Option D
(A+B)’s 2 day work = 1/16 + 1/12 = 7/18
work done in 6 pairs of days=7/48 x 6 = 7/8
remaining work = 1/8
work done by A on 13th day =1/16 remaining work = 1/16
on 14th day its B turn 1/12 work is done by B in 1 day 1/16 work is done by B in 12 x 1/16 = 3/4 day
total time taken =13 ¾ days
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