Quiz Discussion

Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work that when work together. If B worked alone, would take \({ \text{4}}\frac{1}{2}\) hours more than when working together. The time required to finish the work together is =?

• 1] 5 hours
• 2] 8 houras
• 3] 4 hours
• 4] 6 hours

A man undertakes to do a certain work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. The number of additional men that should be appointed so that the whole work will be finished in time is = ?

• 1] 75
• 2] 100
• 3] 125
• 4] 50

If the work done by (x - 1) men in (x + 1) days and the work done by (x + 2) men in (x - 1) days are in the ratio 9 : 10, then the value of x is equal to ?

• 1] 5
• 2] 6
• 3] 7
• 4] 8

If 72 men can build a wall of 280 m length in 21 days, how many men could take 18 days to build a similar type of wall of length 100 m ?

• 1] 30
• 2] 10
• 3] 18
• 4] 28

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

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 can do a piece of work in 5 days less than the time taken by B to do it. If both of them together take \({ \text{11}}\frac{1}{9}\) days, then the time taken by B alone to do the same work (in days ) is?

• 1] 15 days
• 2] 20 days
• 3] 25 days
• 4] 30 days

A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two teams work together ?

• 1] 4 days
• 2] 6 days
• 3] 9 days
• 4] 18 days

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]

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

A can complete a piece of work in 10 days, B in 15 days and C in 20 days. A and C together for 2 days and A was replaced by B. In how many days, altogether, was the work complete ?

• 1] 6 days
• 2] 8 days
• 3] 15 days
• 4] 16 days