Yak Quantitative Aptitude : Fourth Dimension As Well As Operate Do Problems Amongst Explanations

TIME AND WORK

• If H5N1 tin create a slice of operate inwards n days, operate done past times H5N1 inwards 1 twenty-four hours = 1/n. 
• If H5N1 does 1/n operate inwards a day, H5N1 tin terminate the operate inwards n days.
• If M1 men tin create W1 operate inwards D1 days working H1 hours per twenty-four hours together with M2 men tin create W2 operate inwards D2 days working H2 hours per twenty-four hours (where all men operate at the same rate), then,
• M1 D1 H1W2 = M2 D2 H2 W1
• If H5N1 tin create a slice of operate inwards p days together with B tin create the same inwards q days, H5N1 together with B together tin terminate it inwards pq / (p+q) days. 
• If H5N1 is thrice every bit adept every bit B inwards work, then
• Ratio of operate done past times H5N1 together with B = iii : 1 
  
• Ratio of fourth dimension taken to terminate a operate past times H5N1 together with B = 1 : 3

Practice Problems :

1. A together with B together tin consummate a item project inwards 4 days. If H5N1 lone tin consummate the same project inwards 12 days, how many days volition B accept to consummate the project if he plant lone ? 
1. 9 days 
2. 7 days 
3. 5 days 
4. 3 days 
5. None of these 
2. A together with B together tin consummate a item project inwards 8 days. If B lone tin consummate the same project inwards 10 days, how many days volition H5N1 accept to consummate the project if he plant lone ? 
1. 28
2. 36
3.  40
4. 32
5. None of these
3. A together with B together tin consummate a item project inwards vi days. If H5N1 lone tin consummate the same project inwards 10 days, how many days volition B accept to consummate the project if he plant lone ? 
1. 15
2.  16
3. 14
4. 12
5. None of these
4. A together with B together tin consummate a item project inwards 4 days. If H5N1 lone tin consummate the same project inwards vi days, how many days volition B accept to consummate the project if he operate lone ? 
1. 8
2. 17
3. 14
4. 12
5. None of these
5. Yesterday Priti typed an essay out of 5000 words at the speed of lx words per minute. Today she typed the same essay out faster together with her speed was fifteen % to a greater extent than than yesterday. What is the justice departure inwards the fourth dimension she took to type yesterday together with the fourth dimension she took to type today ? 
1. 20 min
2. 30 min
3. 10 min
4. 40 min
11. 1 lx minutes
6. Yesterday Shweta completed 300 units of operate at the charge per unit of measurement of fifteen units per minute. Today she com pleted the same units of operate but her speed was 40% faster than yesterday. What is the justice departure inwards the fourth dimension she took today ? 
1. 16 min 
2. 26 min
3. 46 min
4. 36 min
5. 6 min
7. 12 men tin consummate one-third of the operate inwards 8 days. In how many days tin sixteen men consummate that operate ?
1. 18
2. 12
3. 24
4. Cannot hold upwards determined
5. None of the above
8. 18 women tin consummate a operate inwards 12 days together with 12 men tin consummate the same operate inwards nine days. In how many days volition 8 men together with 8 women consummate that operate ? 
1. 9
2. 6
3. 12
4.  8
5. None of these
9. 24 men tin consummate a slice of operate inwards fifteen days. In how many days volition xviii men consummate that operate ? 
1. 16 days
2. 20 days
3. 22 days
4. 25 days
5. None of these
10. 22 Men tin consummate a project inwards sixteen days. In how many days volition 32 Men consummate that project ? 
1. 14
2. 12
3. 16
4.  9
5. None of these
11. 10 Men tin consummate a slice of operate inwards 8 days. In how many days tin sixteen men consummate that operate ?
1. 4 days
2. 5 days 
3. 6 days
4. 3 days
5. None of these
12. 16 Men tin consummate a slice of operate inwards vii days. In how many days volition 28 men consummate the same operate ?
1. 6 days
2. 8 days 
3. 3 days
4. 4 days
5. None of these
13. A lone tin brand 100 baskets inwards vi days together with B lone tin brand 100 baskets inwards 12 days. In how many days tin H5N1 together with B together brand 100 baskets ? 
1. 3 days
2. 5 days
3. 2 1/2 days
4. 3 1/2 days 
5. None of these 
14. A unmarried individual takes 8 minutes to type a page. If from 1.00 pm to 2.00 pm, 1710 pages are to hold upwards typed, how many persons should hold upwards employed on this project ? 
1. 207
2. 221
3. 249
4. 256
5. None of these
15. A unmarried individual takes iii min to write a letter. If from 10 am to 12:00 noon, 1960 letters are to hold upwards written, how many persons should hold upwards employed on this project ?
1. 53 
2. 47
3. 51
4. 49
5. None of these

Solutions :

1.

Given, H5N1 together with B tin consummate a project inwards 4 days.

Therefore, operate done past times (A+B) inwards 1 twenty-four hours = 1/4

Work done past times H5N1 lone inwards 1 twenty-four hours = 1/12

 Therefore, operate done past times B lone inwards 1 twenty-four hours = (1/4) - (1/12) = (3-1) / 12 = 1/6

Hence, B lone tin consummate the operate inwards vi days. 

2.

Given, H5N1 together with B tin consummate a project inwards 8 days.

Therefore, operate done past times (A+B) inwards 1 twenty-four hours = 1/8

Work done past times B lone inwards 1 twenty-four hours = 1/10

Therefore, operate done past times H5N1 lone inwards 1 twenty-four hours = (1/8) - (1/10) = (5-4) / xl = 1/40

Hence, H5N1 lone tin consummate the operate inwards xl days.

3. 

Given, H5N1 together with B tin consummate a project inwards vi days.

Therefore, operate done past times (A+B) inwards 1 twenty-four hours = 1/6

Work done past times H5N1 lone inwards 1 twenty-four hours = 1/10

Therefore, operate done past times B lone inwards 1 twenty-four hours = (1/6) - (1/10) = (5-3) / thirty = 2/30 = 1/15

Hence, B lone tin consummate the operate inwards fifteen days

4. 

Given, H5N1 together with B tin consummate a project inwards 4 days.

Therefore, operate done past times (A+B) inwards 1 twenty-four hours = 1/4

Work done past times H5N1 lone inwards 1 twenty-four hours = 1/6

Therefore, operate done past times H5N1 lone inwards 1 twenty-four hours = (1/4) - (1/6) = (3-2) / 12 = 1/12

Hence, B accept 12 days to consummate the work

5.

The fourth dimension took to type yesterday = 5000/60 min = 83.33 min

Priti's speed of typing today = lx words per min + 15% of lx words per min

= lx + nine = 69 words per min

The fourth dimension took to type today = 5000/69 min = 72.46 min

So, Required departure = 83.33 - 72.46

This is only about equals to 10 min

6.

The fourth dimension she taken to consummate the operate yesterday

= 300/15 = 20 min

The charge per unit of measurement of operate done past times sweta today = charge per unit of measurement of yesterday + 40% of charge per unit of measurement of yesterday

= fifteen + vi = 21 units per min

The fourth dimension she taken to consummate the operate today = 300/21 = 14.2 min

So, the required departure = 20 - 14.2

This is only about equals to vi mins

7.

Here m1 = 12,  m2 = 16

w1 = 1/3, w2 = 1

d1 = 8,  d2 = ?

m1d1w2 = m2d2w1

12 x 8 x 1 = sixteen x d2 x 1/3

d2 = xviii days

8.

12 days operate of xviii women = nine days operate of 12 men

xviii x 12 women = nineteen x 12 men

two women = 1 man

8 men + 8 women = 8 men + 8/2 men = 8 men + 4 men = 12 men

So, 8 men + 8 women or 12 men tin create the operate inwards nine days (according to the question)

9.

Let xviii men tin consummate the same operate inwards x days, hence

xviii : 24 :: fifteen : x

xviii x x = 24 x 15

x = (24 x 15) / xviii = 20 days


10.

Let 32 men tin consummate the same operate inwards x days, hence

32 : 22 ::16 : x

32 x x = 22 x 16

x = (22 x 16) / 32 = xi days



11.

Let sixteen men tin consummate the same operate inwards x days, hence

sixteen : 10 :: 8 : x

sixteen x x = 10 x 8

x = (10x8) / sixteen = v days


12.


Let 28 men tin consummate the same operate inwards x days, hence


28 : sixteen :: vii : x

28 x x = sixteen x 7

x = (16x7) / 28 = 4 days



13.

If H5N1 tin create a operate inwards x days together with B tin create the same operate inwards y days, the both of them together consummate that operate inwards xy / (x+y) days

= (6 x 12) / xviii = 4 days


14.

In 1 lx minutes (60 min) 

60/8 pages written past times 1 homo

so, 1 page written past times 8/60

1710 pages written past times

(8/60) x 1710 = 228 men


15.

In two hours (120 min)


120/3 = xl letters written past times 1 man

xl letters written past times 1 man

1 missive of the alphabet written past times 1/40

so, 1960 letters written past times


(1/40) x 1960 = 49 men

Shared past times Shravan Varma Gadhiraju

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