## Time and Work For SBI PO Set – 02

1) 15 men or 30 women can do a piece of work in 25 days. In how many days will 34 men and 27 women do double the work ?

a) 8 days

b) 10 days

c) 16 days

d) 12 days

e) None of these

c) 16 days

Explanation

1m = 2w

34m+27w = 34w+34w+27w = 95w

D = 2*25*30/95 = 2*750/95 = 16days

2) 3 men and 6 women can do a piece of work in 16days, then 12 men and 8 women can do the same work in how many days ?

a) 7 days

b) 3 days

c) 9 days

d) 5 days

e) None of these

b) 3 days

Explanation

3m + 6w = 16days

12m+8w = ?

3*6*16 = 12*8*x

X = 3*6*16 / 12*8 = 3 days

3) Rakesh and Ezhil are working on an assignment. Ronald takes 6 hours to type 36 pages on a computer, while Ezhil takes 5 hours to type 25 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

a) 8 hrs

b) 10 hrs

c) 6 hrs

d) 12hrs

e) None of these

b) 10 hrs

Explanation

Rakesh in one hour = 36/6 = 6

Ezhil in one hour = 25/5 = 5

Number of pages typed by both in one hour = 6+5= 11

Time taken by both to type 110 pages = 110/11 = 10 hours

4) If 36 men completed the work in 35 days working 7 hours a day. How many more men should be engaged to finish the rest of the work in 28 days working 5 hours a day?

a) 45

b) 63

c) 32

d) 27

e) None of these

d) 27

Explanation

36*35*7 = 28*5*x

X = 36*35*7/ 28*5

X = 63

63-36 = 27

5)  A takes twice as much time as B and thrice as much time as C to finish a piece of work. Working together they can finish the work in 6 days. C can do the work alone in ?

a) 20

b) 60

c) 12

d) 10

e) None of these

c) 12

Explanation

1/x+2/x+3/x = 1/6

6/x = 1/6

x = 36

C = 3/x = 3/36 = 1/12 = 12 days

6)  30 men can complete a work in 16 days. Six days after they started working, so 20 more men joined them. How many days will they now take to complete the remaining work?

a)  12 days

b)  5 days

c)  6 days

d)  8 days

e) None of these

d)  8 days

Explanation

30*6 / (6/16)  = 50*x / (1-(6/16) )

x = 6 days

7) 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 20 women complete it?

a)  10 days

b) 15 days

c)  20 days

d)  25 days

e) None of these

c)  20 days

Explanation

1 man’s 1 day’s work = x days

1 woman’s 1 day’s work = y

Then, 4x+6y = 1/8 and 3x+7y = 1/10.

Solving these two equations y = 1/400

1 woman’s 1 day’s work = 1/400

20 women  = 20/400 = 1/20 = 20days

8) P can finish a work in 27 days, Q in 9 days and C in 12 days. Q & R start the work but are forced to leave after 4 days. The remaining work done by P in:

a)  6days

b)  9 days

c)  10 days

d)  12days

e) None of these

a)  6days

Explanation

(Q+R) ’s one day’s work = 1/9+1/12 = 7/36

Q & R in 3 days = 4*7/36 = 7/9

Remaining work = 1-(7/9)  = 2/9

1/27 work is done by A in 1 day.

2/9 work is done by A in 27*2/9 = 6 days

9) A is 25% more efficient than B. C does half the work done by A & B together. If C alone does the work n 30 days, then A alone can do the work in

a)  32 days

b)  27 days

c)  22 days

d)  12 days

e)  25(1/2) days

b)  27 days

Explanation

A’s one day’s work:B’s one days work = 125:100 = 5:4

Let A’s & B’s one day’s work be 5x and 4x daysz

Then C’s one day’s work = 9x/2

= > 9x/2 = 1/30

= > x = ((1/30) *(2/9) )  = 1/135

A’s one day’s work = 5/135  = 1/27

10) A man is paid Rs.5 per hour for regular working day and Rs.8 per hour overtime. A regular working day has 8 hour and a regular week has 5 working days. If he earns Rs.920 in 4 weeks, then what is the total number of hours that he worked assuming that he was present on all regular working days?

a)  200 h

b)  180 h

c)   175 h

d)  160 h

e)  155 h

c)   175 h      