Quiz Discussion

A and B together can do a piece of work in 30 days, B and C together can do it in 20 days, A starts the work and works on it for 5 days, B takes up and work for 15 days. Finally C finishes the work in 18 days. The number of days in which C alone can do the work where doing it separately is = ?

• 1] 120 days
• 2] 40 days
• 3] 60 days
• 4] 24 days

A and B together can complete a work in 12 days. B and C together can complete the same work in 8 days and A and C together can complete it in 16 days. In total, how many days do A, B and C together take to complete the same work ?

• 1]

  \({ \text{3}}\frac{5}{{12}}\)

• 2]

  \({ \text{3}}\frac{9}{{13}}\)

• 3]

  \({ \text{7}}\frac{5}{{12}}\)

• 4]

  \({ \text{7}}\frac{5}{{13}}\)

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 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

Working efficiencies of P and Q for completing a piece of working are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in the ratio ?

• 1] 3 : 2
• 2] 2 : 3
• 3] 3 : 4
• 4] 4 : 3

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

There are three boats A, B and C, working together they carry 60 people in each trip. One day an early morning A carried 50 people in few trips alone. When it stopped carrying the passengers B and C started carrying the people together. It took a total of 10 trips to carry 300 people by A, B and C. It is known that each day on an average 300 people cross the river using only one of the 3 boats A, B and C. How many trips it would take to A to carry 150 passengers alone?

• 1] 15
• 2] 30
• 3] 25
• 4] 10
• 5] None of these

16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will they take to complete the remaining work ?

• 1] 4 days
• 2] 6 days
• 3] 8 days
• 4] 10 days

A can do \(\frac{1}{3}\) rd of work in 5 days and B can do the do \(\frac{2}{5}\)th of this work in 10 days. Both A and B, together can do the work in?

• 1]

  \({ \text{ 7}}\frac{3}{8}{ \text{ days}}\)

• 2]

  \({ \text{8}}\frac{4}{5}{ \text{ days}}\)

• 3]

  \({ \text{9}}\frac{3}{8}{ \text{ days}}\)

• 4]

  10 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