Time And Work

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51 A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C can do it in 90 days. In what time can A alone do it?

A
80 days
B
100 days
C
120 days
D
150 days

52 A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in:

A
4 days
B
6 days
C
8 days
D
12 days

53 A alone can do a certain job in 15 days, while B alone can do it in 10 days. A started the work and was joined by B after 5 days. The work lasted for how many days?

A
4
B
8
C
5
D
9

54 A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?

A
6 da ys
B
7 days
C
7 $$\frac{1}{2}$$ days
D
8 days

55 A can do a piece of work in 10 days and B in 20 days. They begin together but A leaves 2 days before the completion of the work. The whole work will be done in

A
6 days
B
7 days
C
8 days
D
9 days

56 If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is

A
2 : 1
B
3 : 1
C
3 : 2
D
5 : 4

57 P can do a piece of work in 12 days, while Q alone can finish it in 8 days. With the help of R, they can finish the work in 4 days. How long will R take to finish the work alone?

A
25 days
B
34 days
C
14 days
D
24 days

58 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days, 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?

A
15
B
18
C
22
D
Data inadequate

59 It is given that 16 men working 18 h a day can build a wall 36 m long, 4 m broad and 24 m high in 20 days. How many men will be required to build a wall 64 m long, 6 m broad and 18 m high working 12 h a day in 16 days?

A
60
B
20
C
30
D
35

60 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?

A
6 $$\frac{1}{2}$$
B
6
C
6 $$\frac{2}{3}$$
D
7 $$\frac{2}{3}$$