Time and Work Question for CAT 2

Time and Work Question for CAT

Q.1 The rates of working of A and B are in the ratio 4 : 5. What is the ratio of the number of days taken by them to finish a job when working separately?

a.2 : 3

b.3 : 2

c.5 : 4

d.4 : 3

Q.2 In a tank of dimensions 5 x 6 x 7 metres, the inlet pipe can supply at 5 m3/hr and the outlet pipe can empty the tank in 30 hrs. If the two pipes are opened simultaneously, how much time does it take to empty the tank when it is half full?

a.52.5 hours 

b.105 hours

c.210 hours 

d.420 hours

Q.3 A garrison has sufficient provision for 500 soldiers for 30 days but  After 6 days, 100 more soldiers join in. Then, how many more days will the provision last?

a.24 days

b.18 days

c.22.22 days

d.20 days

Q.4 If 5 men and 3 boys can reap 23 hectares in 4 days and if 3 men and 2 boys can reap 7 hectares in 2 days, then how many boys must assist 7 men in order that they may reap 45 hectares in 6 days?

a.1

b.2

c.3

d.4

Q.5 6 men can do a piece of work in 10 days. If a woman is half as efficient as a man, in how many days can 10 women complete the work?

a.15 days

b.12 days

c.18 days

d.16 days

Q.6 6 women and 2 men working together take 10 days to do a piece of work and 4 women and 8 men can do the same work in 5 days. Find the no. of days in which 6 men and 8 women can do the same work.

a.15 days

b.5 days

c.6 days

d.10 days

Q.7 20 men can complete a task in 30 days. If one man leaves the site at the end of each day, then what fraction of work will be completed?

a.3/20

b.9/20

c.7/20

d.11/20

Q.8 16 men complete a work in 12 days, working 14 hours a day. 28 men, working 12 hours a day, can complete it in

a.8 days

b.9 days

c.10 days

d.12 days

Q.9 A fort had provisions for 150 men for 45 days. After 10 days, 25 men left. How long will the food last at the same rate?

a.35 days

b.42 days

c.37.5 days

d.54 days

Q.10 A can fabricate a divider in 30 days , while B alone can assemble it in 40 days, If they construct it together and get an installment of RS. 7000, what B's offer?

a.2000

b.4000

c.6500

d.3000

Q.11 A certain no. of men finishes a bit of work in 60 days. On the off chance that there were 8 men more work could be done in 10 days less. What number of men arrived initially?

a.32

b.30

c.36

d.40

Q.12 8 men can do a bit of work in 12 days. 4 ladies can do it in 48 days and 10 kids can do it in 24 days. In how long can 10 men, 4 ladies and 10 kids together finish the bit of work?

a.5 days

b.15 days

c.6 days

d.28 days

Q.13 If 5 men or 9 ladies can complete a work in 19 days, then in how many days will 3 men and 6 ladies together do the same work?

a.10 days

b.15 days

c.12 days

d.13 days

Q.14 A can do 1/4th of the work in 10 days, B can do 40% of the work in 40 days and C can do 1/3rd of the work in 13 days. Who will finish the work first?

a.A

b.B

c.C

d.A and C Both

Q.15 Three pipes A, B and C alone can fill a cistern in 15, 20 and 30 minutes respectively. They were all turned on at the same time and after 5 minutes the first two pipes were turned off. How much more time the third pipe will take to fill the citsern?

a.15/2 minutes

b.25/2 minutes

c.10 minutes

d.15 minutes

Q.16 If 12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4 days. Compare the daily work done by a man with that done by a boy.

a.3:10

b.1:2

c.2:1

d.10:3

Q.17 One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the fill pipe B. When the cistern be full if both pipes are opened together?

a.18 Minutes

b.12 Minutes

c.20 Minutes

d.Data Inadequate

Q.18 The ratio of the number of days taken to complete a work by A, B and C is 1 : 2 : 3. If they together complete a work and earn Rs. 1100, what is the share of C (in Rs.)? 

a.500

b.400

c.300

d.200

Q.19 A can complete a piece of work in 10 days and B can complete the same work in 15 days. Together with C, they complete the work 3 days. Then find the share of C,  if total wage is Rs. 600.

a.Rs.500

b.Rs.400

c.Rs.300

d.Rs.200

Q.20 If 20 men can complete a work in 20 days, then what fraction of the work can be completed by 1 man in 1 day?

a.1/20

b.1/40

c.1/200

d.1/400

Q.21 4 men can complete a piece of work in 4 days working 4 hours a day. In how many hours can eight men complete the same work working 8 hours a day? 

a.1/2

b.2

c.4

d.1

Q.22 If the individual times taken by A and B to complete a piece of work are in the ratio 3 : 4, what is the ratio of the work completed by both, working together in one hour?

a.3 : 4

b.9 : 16

c.16 : 9

d.4 : 3

Q.23 Rama can do a piece of work in 10 days and Rami alone can do it in 5 days. Rama and Rami undertook to do it for Rs.400. With the help of their neighbour Snooty, they finished it in 2 days. The share of Snooty out of the remuneration is

a.Rs.120

b.Rs.200

c.Rs.160

d.Rs.180

Q.24 The ratio of efficiencies of A , B and C is 3 : 4 : 6. If they completed a piece of work working together, what fraction of the work was done by A?

a.4/9

b.1/3

c.3/13

d.2/13

Q.25 6 men can do a piece of work in 10 days. If a woman works half as fast as a man, in how many days can 10 women complete the work?

a.24

b.6

c.18

d.12

1	2	3	4	5	6	7	8	9	10
C	A	D	B	B	B	C	A	B	D
11	12	13	14	15	16	17	18	19	20
D	C	B	C	A	C	B	D	C	D
21	22	23	24	25
D	D	C	C	D