*Hello and welcome to ***exampundit**. Here is set on Time, Work and Wages with detailed solutions on the chapterwise Quantitative Aptitude Word problems for the upcoming SBI PO Prelims 2017.

1. A single petrol tank supplies

the petrol to the Lucknow, while the tank is fed by a single pipeline filling

the tank with the stream of uniform volume. When the tank is full and if 40,000

liters of petrol is used daily, the supply fails in 90 days. If 32,000 liters

of petrol is used daily, it fails in 60 days. How much petrol can be used daily

without interruption ?

the petrol to the Lucknow, while the tank is fed by a single pipeline filling

the tank with the stream of uniform volume. When the tank is full and if 40,000

liters of petrol is used daily, the supply fails in 90 days. If 32,000 liters

of petrol is used daily, it fails in 60 days. How much petrol can be used daily

without interruption ?

A) 66000

B) 76000

C) 56000

D) 50000

E) 45000

2. Four pipes A,B, C and D can

fill a cistern in 20,25, 40 and 50 hours

respectively. The first pipe A was opened at 6:00 am, B at 8:00 am, C at 9:00

am and D at 10:00 am. When will the Cistern be full?

fill a cistern in 20,25, 40 and 50 hours

respectively. The first pipe A was opened at 6:00 am, B at 8:00 am, C at 9:00

am and D at 10:00 am. When will the Cistern be full?

A) 2.09pm

B) 3.09pm

C) 4.09pm

D) 5.00pm

E) 4.00pm

3. Pipe A can fill the petrol

reservoir in 4 hours, while pipe B can fill it in 6 hours working separately. Pipe

C can empty whole the reservoir in 4 hours. Rahul opened the pipe A and B

simultaneously to fill the empty reservoir. He wanted to adjust his alarm so

that he could open the pipe C when it was half-filled, but he mistakenly

adjusted his alarm at a time when his reservoir would be 3/4th filled. What is

the time difference between both the cases, to fill the reservoir fully:

reservoir in 4 hours, while pipe B can fill it in 6 hours working separately. Pipe

C can empty whole the reservoir in 4 hours. Rahul opened the pipe A and B

simultaneously to fill the empty reservoir. He wanted to adjust his alarm so

that he could open the pipe C when it was half-filled, but he mistakenly

adjusted his alarm at a time when his reservoir would be 3/4th filled. What is

the time difference between both the cases, to fill the reservoir fully:

A) 54 minutes

B) 32 minutes

C) 20 minutes

D) 15 minutes

E) None

4. Krishna can reap a field in 20

days, while ram can reap the field in 25 days. They started to reap the field

together. Few days later Sudama also joined them and thus all of them completed

the whole work in 10 days. All of them were paid total Rs.800. What is the

Share of Sudama?

days, while ram can reap the field in 25 days. They started to reap the field

together. Few days later Sudama also joined them and thus all of them completed

the whole work in 10 days. All of them were paid total Rs.800. What is the

Share of Sudama?

A) 70

B) 80

C) 90

D) 100

E) None

5. Pipe 1 can fill a tank in 12

hours and pipe 2 can fill in 15 hours, separately. A third pipe 3 can empty in

20 hours. Initially pipe 1 was opened, after one hour pipe 2 was opened and then after 1 hour of opening of pipe2 , pipe 3 was opened. In how many hours

tank will fill?

hours and pipe 2 can fill in 15 hours, separately. A third pipe 3 can empty in

20 hours. Initially pipe 1 was opened, after one hour pipe 2 was opened and then after 1 hour of opening of pipe2 , pipe 3 was opened. In how many hours

tank will fill?

A) 9 2/3 hours

B) 10 hours

C) 6 2/3 hours

D) 5 hours

E) None

6. A group of boys decided to do

a piece of work in 4 days. But since,

20 boys dropped out everyday, the job completed at the end of 7th day. How many

boys were there at the beginning?

a piece of work in 4 days. But since,

20 boys dropped out everyday, the job completed at the end of 7th day. How many

boys were there at the beginning?

A) 240

B) 140

C) 150

D) 280

E) 400

7. After passing out from a

reputed fashion designing academy 5 friends A,B,C,D and E open a fashion store

of their own. If 5 of them can design 1800 dresses in 90 days working alternatively,

find the minimum possible number of dresses they can design in a single day by

working together?

reputed fashion designing academy 5 friends A,B,C,D and E open a fashion store

of their own. If 5 of them can design 1800 dresses in 90 days working alternatively,

find the minimum possible number of dresses they can design in a single day by

working together?

A) 100

B) 20

C) 50

D) 4

E) None

8. In how many days can the work be done by 8 men and 12 women?

i. 6 men and 5 women can do the

work in 6 days

work in 6 days

ii. 3 men and 4 women can do the

work in 16 days

work in 16 days

iii. 18 men and 15 women can do

the work in 5 days.

the work in 5 days.

Which of the statements I, ii, iii

are required to answer the above question?

are required to answer the above question?

A) 2 only

B) All the three

C) Any one of the 3

D) Any 2 of the 3

E) None

__Answers:__

- Ans-c
- Ans-b
- Ans-a
- Ans-b
- Ans-a
- Ans-b
- Ans-a
- Ans-d

__Detailed Solutions:__

1. Let x liter be the per day filling and v liter be the

capacity of the tank, then

capacity of the tank, then

90x + v = 40000 × 90

—– (1)

—– (1)

60x + v= 32000 × 60

—— (2)

—— (2)

Solving eq. (1) and (2), we get

x = 56000

Hence 56000 ltrs can be supplied everyday without

interruption.

interruption.

2. Efficiency of P= 5%

Efficiency of Q= 4%

Efficiency of R= 2.5%

Efficiency of S= 2%

%

Thus, at 10 am pipe P,Q and R filled 30.5% of the cistern.

Now, the time taken by P,Q,R and S together to fill the

remaining capacity of the cistern

remaining capacity of the cistern

=69.5/13.5=139/27=5 Hours and 9 minutes(approx)

Therefore, total time =4 hrs + 5hrs 9 mins

= 9 hrs and 9 mins

It means cistern will be filled up at 3:09 pm

3. In ideal Case:

Time taken to fill the reservoir half by A and B =

50/41.66=6/5 hours

50/41.66=6/5 hours

Time taken by A,B and C to fill rest half of the

reservoir=50/16.66 = 3 hours

reservoir=50/16.66 = 3 hours

Total time = 6/5 +3=

4 hours 12 min

4 hours 12 min

In second case:

Time taken to fill 3/4 reservoir by A and B =75/41.66=9/5

hours

hours

Time taken by A,B and C to fill rest 1/4 reservoir =

25/16.66=3/2 hours

25/16.66=3/2 hours

Total time =9/5 + 3/2=

18+15/10 =3 hours 18 min

18+15/10 =3 hours 18 min

Therefore , difference in time = 54 minutes

4. Efficiency of krishna = 100/20=5%

Efficiency of ram = 100/25=4%

Thus, in 10 days working together they will complete only

90% of the work.

90% of the work.

[(5+4)×10] =90%

Hence, the remaining work will surely done by sudama, which

is 10%.

is 10%.

Thus, sudama will get 10% of Rs. 800, which is Rs.80

5. Pipe 1 eff= 8.33%

Pipe2=6.67%

Pipe3=5%

When pipe 3 was open, pipe 1 filled 16.66% capacity

Wen pipe 3 opened, pipe 2 filled 6.67% capacity

Therefore rest capcity filled by pipe3= 100-23.34=76.67%

Net eff of pipe 1, 2 and 3 = 10%

Hence 3 pipes will take= 76.66/10=7.66=7 2/3 hrs

Total = 2 hrs= 7 2 /3 hrs= 9

2/3 hours

2/3 hours

6. Solve through options-

lhs 140 x 4=

140+120+100+…+20)=560= rhs

lhs 140 x 4=

140+120+100+…+20)=560= rhs

7. Let A,B,C,D,E design a, b, c, d, e dresses per day

respectively

respectively

1/a+1/b+1/c+1/d+1/e=90/1800=1/20

When a=b=c=d=e we get min value 5×1/a=1/20=>a+b+c+d+e=100

8. Any of the 2 statements will give 2 equation in x and y

which can be solved simultaneously. For example I and ii give 6x+5y=1/6

which can be solved simultaneously. For example I and ii give 6x+5y=1/6

And 3x+4y=1/16

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