Quiz Discussion

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

• 1]

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

• 2]

  \(\frac{1}{{10}}\)

• 3]

  \(\frac{7}{{15}}\)

• 4]

  \(\frac{8}{{15}}\)

A can do a piece of work in 20 days and B in 15 days. With help of C, they finish the work in 5 days. In how many days C alone can do the same work ?

• 1] 5 days
• 2] 6 days
• 3] 10 days
• 4] 12 days

Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the cistern will be filled in:

• 1] 7.5 hr
• 2] 8 hr
• 3] 8.5 hr
• 4] 10 hr

Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone, he would need 41/2 hours more to complete the job than they both working together. What time would they take to do the work together ?

• 1] 4 hours
• 2] 5 hours
• 3] 6 hours
• 4] 7 hours

A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work ?

• 1] 8 days
• 2] 9 days
• 3] 10 days
• 4] 11 days

A, B and C can complete a piece of work in 24, 5 and 12 days respectively. Working together, they will complete the same work in ?

• 1]

  \(\frac{7}{{24}}{ \text{days}}\)

• 2]

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

• 3]

  4 days

• 4]

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

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

• 1]

  11 days

• 2]

  13 days

• 3]

  20 3/17 days

• 4]

  None of these

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 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

A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labours it was found that only \({\frac{5}{8}}\) th of the road had been constructed. To complete the work in stipulated time the number of extra labours required are ?

• 1] 16
• 2] 12
• 3] 10
• 4] 18