Time And Work
Sponsor Area
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
Sponsor Area
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
Sponsor Area
Mock Test Series
Mock Test Series