Quantitative Aptitude

Time and Work

2,195 Questions
All Pairwise rates and staged schedules 440 Workers-days-hours chain rule 439 LCM units and efficiency ratios 409 Different worker categories 311 Combined rates and an unknown worker 257 Division of wages 219 Alternate work 110 Opposing rates 10

Time and Work Questions

Multiple choice

X completes 40% of his work in 12 days. Then takes the help of Y and Z. Y is 50% efficient as X, Z is 50% efficient as Y. In how many more days will they complete the work?

  1. 18 days

  2. 72/7 days

  3. 6 days

  4. 144 days

  5. 72/3 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When X is doing 40 % of work, it takes 12 days.
When X is doing 60% of work, it takes 18 days. When X + Y + Z or X + 1/2X + 1/4X is doing 60% of work it takes 18/(1 + 1/2 + 1/4) = 72/7 days.

Multiple choice

Vikram, Vivek and Vikrant can do a work 3, 4and 5 days, respectively. On completing that work together, they get an amount of Rs. 4700. What is the individual share of each one of them in that amount?

  1. 1200, 2500 and 1000 respectively

  2. 1800, 2000 and 2500 respectively

  3. 2000, 1500 and 1200 respectively

  4. 1300, 1400 and 2000 respectively

  5. 800,1600 and 2300 respectively
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

It is correct answer. Solution : Vikram's one day work  = 1/3

Vivek's one day work =1/4 Vikrant's one day work =1/5 Vikram's share : Vivek's share : Vikrant's Share=   1/3 : 1/4 : 1/5 The ratio becomes 20 : 15 : 12 (By Finding L.C.M) Vikram's Share=20/47*4700=2000 Vivek's Share=15/47*4700=1500 Vikrant's Share=12/47*4700=1200

Multiple choice

Suman takes thrice as much time as Rahul and four times as much as Varun to finish a task. They together complete the task in one day. Find the time taken by each of them to complete the task.

  1. 6 days

  2. 14 days

  3. 5 days

  4. 10 days

  5. 8 days
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

It is correct answer.

Let alone time of Suman be x .

Then alone time of Rahul = x/3 and that of Varun be x/4.

Suman's one day work + Rahul's one day work + Varun's one day work = Combined one day work                     

   (1/x) + (1/(x/3)) + (1/(x/4)) = 1                                                  x = 8

Multiple choice

A and B can do a piece of work in 6 days. B and C can do it in 7½ days. C and A can do it in 10 days. In how many days will B alone finish it?

  1. 30 days

  2. 10 days

  3. 15 days

  4. 1/10 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

( A + B ) 's  1 day work  = 1 / 6( B + C ) 's 1 day work = 2 / 15       ( 7 1/2 = 15 /2 ) ( C + A )'s 1 day work = 1/ 10By adding

( A+ B ) + ( B + C ) + ( C + A ) 's 1 day work = 1/ 6 + 2/15 + 1/10  (A + B + B + C + C + A) 's 1 day work = 1/ 6 + 2/15 + 1/10  ( 2A + 2B + 2C ) 's 1 day work = 1/6 + 2/15 + 1/10 2 ( A + B + C ) 's 1 day work = (5 + 4 + 3) /30 = 12/30 = 6 /15 (A + B + C )'s 1 day work = 6/15 x 2 = 6/30

( A + B + C ) 's 1 day work - ( C + A ) 's 1 day work =                                  6/30 - 1/10                                 = 6 - 3 /30                                = 3/30                                  = 1 /10 B1 day work is 1/10 B can complete whole work in  1 / 1/10 = 10 days

Multiple choice

The work done by A in one day is half of the work done by B in one day. The work done by B is half of the work done by C in one day. If C alone can complete the work in 7 days, in how many days will A, B and C together complete the work?

  1. 28 days

  2. 14 days

  3. 4 days

  4. 21 days

  5. 8 days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work done by C in one day = 1/7 Work done by B in one day = 1/2(C) = 1/7 x 1/2 = 1/14 Work done by A in one day = 1/2(B) = 1/2 x 1/14 = 1/28 Work done by A, B and C together in one day = (4 + 2 + 1)/28 = 1/4 Work is done by A, B and C together in 4 days.

Multiple choice

A can do a piece of work in 10 days and B can do the same work in 14 days. How long will they take if both of them work together?

  1. 35/6 days

  2. 6/35 days

  3. 6 days

  4. 60/11 days

  5. 12 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A's 1 day's work = 1/10th part of the whole work and  B's 1 day's work = 1/14th part of the whole work. Therefore, (A + B)'s one day's work = 1/10 + 1/14 = 6/35th part of the whole work. So, both will complete the work in 35/6 days. It is the correct answer.

Multiple choice

A piece of work can be finished by 12 men in 12 days, whereas it takes 16 women 12 days to finish the same work. If 18 men and 8 women undertake the responsibility to complete the work, how many days will it take them to complete it?

  1. 7 days

  2. 6 days

  3. 24 days

  4. 5 days

  5. 8 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

 It is clear that 12 men = 16 women or 3 men = 4 women.  Therefore, 18 men + 8 women =18 * (4 / 3) women + 8 women  = 24 + 8 = 32 women 
Now, 16 women can complete the work in 12 days. So, 32 women will do it in 6 days. ((12 * 16) / 32 = 6 days).  It is the correct answer.

Multiple choice

A can do a work in 4 days. B completes the same work in 8 days. C takes as long as A and B would take if they worked together. How long will it take B and C to complete the work if they work together?

  1. 3 days

  2. 12/5 days

  3. 32/3 days

  4. 8/3 days

  5. 2 days
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

(A + B) can do the work in (4 * 8) / (4 + 8) = 32/12 = 8/3 days

Therefore, C takes 8/3 days to complete the work. So, (B + C) takes ((8/3) * 8)/((8/3) + 8) = 64/32 = 2 days. It is the correct answer.

Multiple choice

A can do a piece of work in 18 days and B can do the same work in 24 days. They finished the work with the assistance of C in 6 days and got Rs. 51 as their wage. Find the share of B in the wage?

  1. Rs. 11.25

  2. Rs. 17

  3. Rs. 12.75

  4. Rs. 11.75

  5. Rs. 21.25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A did 1/3th of the workin 6 days. B completed 1/4th of the work in 6 days. Work completed by C in 6 days = 1 - (1/3) + (1/4) = 5/12th of the work Since A, B and C did the work in 6 days 1/3th, 1/4th, 5/12th of the work, respectively. A's share = Rs 51 * (1 / 3) = Rs. 17 B's share = Rs 51 * (1 / 4) = Rs. 12.75 C's share = Rs 51 * (5 / 12) = Rs. 21.25. So B's share is Rs 12.75. It is the correct answer.

Multiple choice

A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together?

  1. 3 days

  2. 8/9 days

  3. 4 days

  4. can't say

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A takes 8 days, so A's rate = 1/8 work per day. B works 3 times faster, so B's rate = 3/8 work per day. C works 5 times faster, so C's rate = 5/8 work per day. Combined rate = (1+3+5)/8 = 9/8 work per day. Time together = 1 ÷ (9/8) = 8/9 days.

Multiple choice

A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?

  1. 7

  2. 8

  3. 11

  4. 12

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

 A company contracts to paint 3 houses. Mr.Brown paints in 6 days = 1 house Mr.Brown paints in 1days =1/6 house Mr.Brown paints in 8days =8/6 =4/3 house work left = 3-4/3 = 5/3 house Mr.Black paints in 8 days = 1 house Mr..Black paints in 1days =1/8 house Mr..Black paints in 6days =6/8= 3/4 house work left = 5/3 - 3/4 = 11/12= .Blue paints in 12 days = 1 house .Blue paints in 1 day = 1/12 house Mr. blue will finish 11/12 huse in = (11/12)/12=11 days

Multiple choice

A can do a piece of work in 80 days. He works on it for 10 days and then, B alone finishes the remaining work in 49 days. In how much time will A and B, working together, finish the work?

  1. 31 days

  2. 30 days

  3. 33 days

  4. 40 days

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work done by A in 10 days = 10/80 = 1/8 Remaining work = (1-(1/8)) = 7/8 Now, work will be done by B in 49 days. Whole work will be done by B in (49 * 8/7) = 56 days Therefore, A's one day's work = 1/80 B’s one day's work = 1/56(A + B)'s one day's work = 1/80 + 1/56 = 17/560 = 33 days Hence, both will finish the work in 33 days.