Quiz Discussion

A and B can do a job in 7 days. A is \({ \text{1}}\frac{3}{4}\) times as efficient as B. The same job can be done by A alone in?

• 1]

  \(9\frac{1}{3}{ \text{days}}\)

• 2]

  11 days

• 3]

  \(12\frac{1}{4}{ \text{days}}\)

• 4]

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

A and B can together finish a work in 30 days. They worked together for 20 days and B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the job ?

• 1] 40 days
• 2] 50 days
• 3] 54 days
• 4] 60 days

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

A man and a boy can do a piece of work in 24 days. If the man works alone for the last 6 days, it is completed in 26 days. How long would the boy take to do it alone ?

• 1] 20 days
• 2] 24 days
• 3] 36 days
• 4] 72 days

A cistern can be filled by two pipes in 20 and 30 minutes respectively. Both pipes being opened, when the first pipe must be turned off so that the cistern may be filled in 10 minutes more.

• 1] After 10 minutes
• 2] After 12 minutes
• 3] After 20 minutes
• 4] After 8 minutes

A man can do a piece of work in 30 hours. If he works with his son then the same piece of work is finished in 20 hours. If the son works alone then he do the work in ?

• 1] 60 hours
• 2] 50 hours
• 3] 25 hours
• 4] 10 hours

42 women can do a piece of work in 18 days, How many women would be required do the same work in 21 days.

• 1] 35
• 2] 36
• 3] 37
• 4] 38

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 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]

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

The time taken by 4 men to complete a job is double the time taken by 5 children to complete the same job. Each man is twice as fast as a woman. How long will 12 men, 10 children and 8 women take to complete a job, given that a child would finish the job in 20 days ?

• 1] 4 days
• 2] 2 days
• 3] 1 day
• 4] 10 days