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12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?
2
3
4
5
A.
2
P.D. = P.D. (Persons x no of days)
12 x 9 = 12 x 6 + (12+6) x d
108 = 72 + 18d
18d = 36
d = 2 days
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15 men can finish a piece of work in 40 days. The days after which 5 men should leave the work so that the work is finished in 45 days altogether is
10
20
30
35
C.
30
Let the required number of days be x.
According to the question,
M1W1 = M2W2
15 x 40 = 5 x (x) + 10 x (45)
600 = 5x + 450
5x = 150, x = 30
15 men take 20 days to complete a job working 8 hours a day. The number of hours a day should 20 men take to complete the job in 12 days
5 hours
10 hours
15 hours
18 hours
B.
10 hours
Shortcut Method:
16 men can complete a work in 15 days, 24 children can do the same work in 20 days. In how many days will 8 men and 8 children, complete the same work?
16
20
18
C.
20
Use the trick, P. D. = P. D. (i.e. person x days = person x days)
16 m x 15 d = 24 c x 20 d
3 m = 6 c
1 m = 2 c
Now,
8 children = 4 men
So,
(8M + 4M) x X days = 16 M x 15 days
X = 20 days
2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs. 180 per day, then a woman will get per day
Rs. 150
Rs. 140
Rs. 120
Rs. 160
C.
Rs. 120
(2M + 1W) x 14 = (4W + 2M) x 8
28M + 14W = 32W + 16M
12M = 18W
⟹ 2M = 3W
Wages per day of 1 man = Rs. 180
∴ Wages per day of 1 woman
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