Quiz Discussion

A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in ?

• 1]

  \({ \text{14}}\frac{1}{3}{ \text{ days}}\)

• 2]

  \({ \text{15}}\frac{2}{3}{ \text{ days}}\)

• 3]

  \({ \text{16}}\frac{1}{3}{ \text{ days}}\)

• 4]

  \({ \text{18}}\frac{2}{3}{ \text{ days}}\)

X takes 4 days to complete one-third of a job. Y takes 3 days to complete one-sixth of the job and Z takes 5 days to complete half the job. If all of them work together for 3 days and X and Z quit, how long will it take for Y to complete the remaining work done.

• 1] 6 days
• 2] 8.1 days
• 3] 5.1 days
• 4] 7 days
• 5] None of these

The laborer's A, B, C were given a contract of Rs. 750 for doing a certain piece of work. All the three together can finish the work in 8 days, A and C together can do it in 12 days, while A and B together can do it in \({ \text{13}}\frac{1}{3}\) days. The money will be divided in the ratio?

• 1] 4 : 5 : 6
• 2] 4 : 7 : 5
• 3] 5 : 7 : 4
• 4] 5 : 6 : 8

4 men and 10 women were put on work. They completed \(\frac{1}{3}\) of the work in 4 days. After this 2 men and 2 women were increased. They completed \(\frac{2}{9}\) more of the work in 2 days. If the remaining work is to be completed in 3 days, then how many more women must be increased?

• 1] 8
• 2] 32
• 3] 50
• 4] 55

A and B can compete a piece of work in 18 days. They worked together for 12 days and then A left. B alone finished the work in 15 days. If Rs. 1500 be paid for the work then A's share is:

• 1] Rs. 750
• 2] Rs. 800
• 3] Rs. 600
• 4] Rs. 900

A can do half of a piece of work in 1 day,where B can do full. B can do half the work as C in 1 day. The ratio of their efficiencies of work is = ?

• 1] 1 : 2 : 4
• 2] 2 : 1 : 4
• 3] 4 : 2 : 1
• 4] 2 : 4 : 1

A can do a piece of work in 12 days and B in 24 days. If they work together, in how many days will they finish the work ?

• 1] 20 days
• 2] 8 days
• 3] 12 days
• 4] 15 days

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

A can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in ?

• 1] 16 days
• 2] 24 days
• 3] 35 days
• 4] 28 days

A can build a wall in the same time in which B and C together can do it. If A and B together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it ?

• 1] 91 days
• 2] 100 days
• 3] 175 days
• 4] None of these