Quiz Discussion

Two typists of varying skills can do a job in 6 minutes if they work together. If the first typist typed alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with \(\frac{1}{5}\) of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?

• 1] 10 minutes
• 2] 15 minutes
• 3] 12 minutes
• 4] 20 minutes
• 5] 17 minutes

A group of workers was put on a job. From second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in 55% of the time. How many workers were there in the group?

• 1] 15
• 2] 14
• 3] 12
• 4] 10
• 5] 8

A is thrice as good a workman as B and so takes 60 days less than B for doing a job. The time in which they can do the job together is = ?

• 1]

  \(22\frac{1}{2}{ \text{days}}\)

• 2]

  30 days

• 3]

  45 days

• 4]

  60 days

If 5 men and 3 women can reap 18 acre of crop in 4 days, 3 men and 2 women can reap 22 acre of crop in 8 days, then how many men are required to join 21 women to reap 54 acre of crop in 6 days ?

• 1] 5
• 2] 6
• 3] 10
• 4] 12

A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?

• 1]

  2:5

• 2]

  2:7

• 3]

  3:7

• 4]

  1:5

If 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days, then 10 women complete it in ?

• 1] 35 days
• 2] 50 days
• 3] 45 days
• 4] 40 days

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

• 1]

  4 days

• 2]

  6 days

• 3]

  8 days

• 4]

  12 days

A can do a certain job in 12 days and B is 60% more efficient than A. The B can do the same piece of work in ?

• 1]

  \({ \text{8 days}}\)

• 2]

  \({ \text{7}}\frac{1}{2}{ \text{ days}}\)

• 3]

  \({ \text{6}}\frac{1}{4}{ \text{ days}}\)

• 4]

  \({ \text{6 days}}\)

A and B together can complete a work in 12 days. B and C together can complete the same work in 8 days and A and C together can complete it in 16 days. In total, how many days do A, B and C together take to complete the same work ?

• 1]

  \({ \text{3}}\frac{5}{{12}}\)

• 2]

  \({ \text{3}}\frac{9}{{13}}\)

• 3]

  \({ \text{7}}\frac{5}{{12}}\)

• 4]

  \({ \text{7}}\frac{5}{{13}}\)

A and B together can finish a work in 9 days. A alone can finish the work in 12 days. In how many days will B alone finish the work?

• 1]

  24

• 2]

  28

• 3]

  32

• 4]

  36