Quiz Discussion

A company employed 200 workers to complete a certain work in 150 days. If only \(\frac{1}{4}\) th of the work had been done in 50 days, then in order to complete the whole work in time, the number of additional workers to be employed were?

• 1] 100
• 2] 600
• 3] 300
• 4] 200

Working together, Asha and Sudha can complete an assigned task in 20 days. However, if Asha worked alone and completed half the work and then Sudha takes over the task and completes the second half of the task, the task will be completed in 45 days. How long will Asha take to complete the if she worked alone ? Assume that Sudha is more efficient than Asha.

• 1] 25 days
• 2] 30 days
• 3] 60 days
• 4] 65 days

A and B together can do a job in 2 days; B and C can do it in 4 days; A and C in \({ \text{2}}\frac{2}{5}\) days. The number of days required for A to do the job alone is = ?

• 1] 1
• 2] 3
• 3] 6
• 4] 12

A and B working together completed a job in 5 days. If A works twice as efficiently as he actually did and B works \(\frac{1}{3}\) of actual efficiency, the work would have been completed in 3 days. Find the for A to complete the job alone.

• 1]

  \(6\frac{1}{2}\)

• 2]

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

• 3]

  \(6\frac{3}{4}\)

• 4]

  \(12\frac{1}{2}\)

• 5]

  None of these

12 men can do a piece of work in 15 days and 20 women can do the same work in 12 days. In how many days can 5 men and 5 women complete the same work ?

• 1]

  \({ \text{20}}\frac{4}{7}{ \text{ days}}\)

• 2]

  \({ \text{2}}\frac{4}{7}{ \text{ days}}\)

• 3]

  \({ \text{20}}\frac{3}{7}{ \text{ days}}\)

• 4]

  18 days

A road of 5 m length will be constructed in 100 days. So, 280 workers were employed. But after 80 days it was found that only \({ \text{3}}\frac{1}{2}\) km road was completed. Now, how many more people were needed to finish the work in the specified time?

• 1] 480
• 2] 80
• 3] 200
• 4] 100

Three taps A, B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it?

• 1] 16 minutes
• 2] 24 minutes
• 3] 32 minutes
• 4] 40 minutes

A can do three times the work done by B in one day. They together finish \(\frac{2}{5}\) of the work in 9 days. The number of days by which B can do the work alone is?

• 1] 120 days
• 2] 100 days
• 3] 30 days
• 4] 90 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 and B can together do a piece of work it in 6 days and A alone can do it in 9 days. The number of days B will take to do it alone is ?

• 1] 18 days
• 2] 24 days
• 3] 9 days
• 4] 12 days