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11.
A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in
  • A.
    		 14 1  days
    3
  • C.
    		 16 1  days
    3
  • B.
    		 15 2  days
    3
  • D.
    		 18 2  days
    3
  • Answer & Explanation
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Answer : [A]
Explanation :
Part of work done by A and B in first two days =
1
12
+
1
18
=
3 + 2
36
=
5
36
   
Part of work done by A and B in 14 days =
35
36
   
 
Remaining work =
1
36
   
Now A will work for the 15th day.
A will do
1
36
 of the work in
1
36
 x 12 =
1
3
 days.
Total work is completed in 14
1
3
 days  
 
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12.
A can do a piece of work in 12 days, while B alone can do it in 15 days, with the help of C they can finish it in 5 days. If they are paid Rs. 960 for the whole work, what is the share of A?
  • A.
    Rs. 420
  • C.
    Rs. 400
  • B.
    Rs. 380
  • D.
    Rs. 350
  • Answer & Explanation
  • Report
Answer : [C]
Explanation :
(A + B)'s 1 day work =
1
12
+
1
15
=
5 + 4
60
=
9
60
=
3
20
   
(A + B + C)'s 1 day work =
1
5
   
 
C's 1 day work =
1
5
-
3
20
=
4 - 3
20
=
1
20
   
Ratio of their work =
1
12
:
1
15
:
1
20
 = 5 : 4 : 3  
A's share =
5
12
 x 960 = Rs. 400  
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13.
30 men can do a work in 50 days. After 20 days 10 men leave the work. The whole work will be done in
  • A.
    		 53 1  days
    3
  • C.
    45 days
  • B.
    65 days
  • D.
    60 days
  • Answer & Explanation
  • Report
Answer : [C]
Explanation :
30 men can do the remaining work in (50 – 20)  = 30 days
20 men can do the remaining work in =
30 x 30
20
 = 45 days  
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14.
A and B together can do a piece of work in 4
4
5
 days. B and C together can do it in 8 days
and A, B and C together in 4 days, A and C together will finish the work in
  • A.
    8 days
  • C.
    10 days
  • B.
    6 days
  • D.
    7 days
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
(A + B)'s 1 day work =
5
24
 and (B + C)'s 1 day work =
1
8
 
(A + B + C)'s 1 day work =
1
4
   
(A + 2B + C)'s 1 day work =
5
24
+
1
8
=
1
3
     
 
B's 1 day work =
1
3
-
1
4
=
1
12
     
 
(A + C)'s 1 day work =
1
4
-
1
12
=
2
12
=
1
6
 
 
A and C together can complete the work in 6 days  
 
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