11.
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
A. 5 B.
5 1
2
C. 6 D. 8
Answer & Explanation
Answer: Option C
Explanation:
B’s 10 day’s work = ( 1 x 10 ) = 2 .
15 3
Remaining work = ( 1 – 2 ) = 1 .
3 3
Now, 1 work is done by A in 1 day.
18
Therefore 1 work is done by A in ( 18 x 1 ) = 6 days.
3 3
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12.
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
A. 35 B. 40
C. 45 D. 50
Answer & Explanation
Answer: Option B
Explanation:
Let 1 man’s 1 day’s work = x and 1 woman’s 1 day’s work = y.
Then, 4x + 6y = 1 and 3x + 7y = 1 .
8 10
Solving the two equations, we get: x = 11 , y = 1
400 400
1 woman’s 1 day’s work = 1 .
400
10 women’s 1 day’s work = 1 x 10 = 1 .
400 40
Hence, 10 women will complete the work in 40 days.
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13.
A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?
A. 40 B. 50
C. 54 D. 60
Answer & Explanation
Answer: Option D
Explanation:
(A + B)’s 20 day’s work = ( 1 x 20 ) = 2 .
30 3
Remaining work = ( 1 – 2 ) = 1 .
3 3
Now, 1 work is done by A in 20 days.
3
Therefore, the whole work will be done by A in (20 x 3) = 60 days.
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14.
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
A.
5 5
11
B.
5 6
11
C.
6 5
11
D.
6 6
11
Answer & Explanation
Answer: Option A
Explanation:
P can complete the work in (12 x 8) hrs. = 96 hrs.
Q can complete the work in (8 x 10) hrs. = 80 hrs.
P’s1 hour’s work = 1 and Q’s 1 hour’s work = 1 .
96 80
(P + Q)’s 1 hour’s work = 1 + 1 = 11 .
96 80 480
So, both P and Q will finish the work in 480 hrs.
11
Number of days of 8 hours each = 480 x 1 = 60 days = 5 5 days.
11 8 11 11