Quiz Discussion

A and B working together completed a job in 5 days. If A works twice as efficiently as he actually did and B works \(\frac{1}{3}\) of actual efficiency, the work would have been completed in 3 days. Find the for A to complete the job alone.

• 1]

  \(6\frac{1}{2}\)

• 2]

  \(6\frac{1}{4}\)

• 3]

  \(6\frac{3}{4}\)

• 4]

  \(12\frac{1}{2}\)

• 5]

  None of these

Madhu takes twice as much time as Uma to complete a work and Rahul does it in the same time as Madhu and Uma together. If all three working together can finish the work in 6 days, then the time taken by Madhu to finish the work is = ?

• 1] 12 days
• 2] 14 days
• 3] 36 days
• 4] 40 days

A contractor undertakes to make a road in 40 days and employs 25 men. After 24 days, he finds that only one-third of the road is made. How many extra men should he employ so that he is able to complete the work 4 days earlier ?

• 1] 100
• 2] 60
• 3] 75
• 4] None of these

A is thrice good a workman as B and therefore is able to finish a job in 40 days less than B. Working together they can do it in:

• 1] 15 days
• 2] 16 days
• 3] 18 days
• 4] 20 days

The laborer's A, B, C were given a contract of Rs. 750 for doing a certain piece of work. All the three together can finish the work in 8 days, A and C together can do it in 12 days, while A and B together can do it in \({ \text{13}}\frac{1}{3}\) days. The money will be divided in the ratio?

• 1] 4 : 5 : 6
• 2] 4 : 7 : 5
• 3] 5 : 7 : 4
• 4] 5 : 6 : 8

If 5 men and 3 women can reap 18 acre of crop in 4 days, 3 men and 2 women can reap 22 acre of crop in 8 days, then how many men are required to join 21 women to reap 54 acre of crop in 6 days ?

• 1] 5
• 2] 6
• 3] 10
• 4] 12

A and B can separately complete a piece of work in 20 days and 30 days respectively. They worked together for some time. Then B left the work. If A completed the rest of the work in 10 days, then B worked for

• 1]

  6 days

• 2]

  8 days

• 3]

  12 days

• 4]

  16 days

A can do a certain work in 12 days. B is 60% more efficient then A. How many days will B and A together take to do the same job?

• 1]

  \(\frac{{80}}{{13}}{ \text{days}}\)

• 2]

  \(\frac{{70}}{{13}}{ \text{days}}\)

• 3]

  \(\frac{{75}}{{13}}{ \text{days}}\)

• 4]

  \(\frac{{60}}{{13}}{ \text{days}}\)

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 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]

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