Quiz Discussion

X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone completed the remaining work in 16 days. How long would X and Y together take to complete the work ?

• 1]

  \(13\frac{1}{3}{ \text{days}}\)

• 2]

  14 days

• 3]

  15 days

• 4]

  \(16\frac{2}{3}{ \text{days}}\)

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 work in 15 days and B in 20 days. If they together work on it for 4 days, what fraction of the work will be left ? 

• 1]

  1/13

• 2]

  6/11

• 3]

  9/17

• 4]

  8/15

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

• 1] 12 days
• 2] 15 days
• 3] 16 days
• 4] 18 days

A job can be done by 3 skilled workmen in 20 days or by 5 boys in 30 days. How many days will they take if they work together ?

• 1] 8 days
• 2] 10 days
• 3] 11 days
• 4] 12 days

An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. After 100 days, he finds 2.5 km of the road has been completed. Find the (approx.) number of extra men he must employ to finish the work in time.

• 1] 43
• 2] 45
• 3] 55
• 4] 68
• 5] 60

A can do a work in 10 days. The efficiency of A is 20% less than B. How many days B need to finish the same work?

• 1] 8.5 days
• 2] 12.3 days
• 3] 8 days
• 4] 7.5 days

Shashi can do piece of work in 20 days. Tanya is 25% more efficient than Sashi. The number of days taken by Tanya to do the same piece of work is = ?

• 1] 15
• 2] 25
• 3] 18
• 4] 16

Kamal can do a work in 15 days. Bimal is 50% more efficient then Kamal. The number of days, Bimal will take to do the same piece of work, is = ?

• 1]

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

• 2]

  10

• 3]

  12

• 4]

  14

Raj can do a piece of work in 20 days. He started the work and left after some days, when 25% work was done. After it Abhijit joined and completed it working for 10 days. In how many days Raj and Abhijit can do the complete work, working together?

• 1] 6
• 2] 8
• 3] 10
• 4] 12