Quiz Discussion

A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in

• 1] 5 days
• 2] 6 days
• 3] 9 days
• 4] 10 days

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

• 1]

  5

• 2]

  5 1/2

• 3]

  6

• 4]

  8

A and B together can do a job in 2 days; B and C can do it in 4 days; A and C in \({ \text{2}}\frac{2}{5}\) days. The number of days required for A to do the job alone is = ?

• 1] 1
• 2] 3
• 3] 6
• 4] 12

A and B working separately can do a piece of work in 9 and 15 days respectively. If they work for a day alternately, with A beginning, then the work will be completed in:

• 1] 9 days
• 2] 10 days
• 3] 11 days
• 4] 12 days

If m men can do a work in r days, then the number of days taken by (m + n) men to do it is :

• 1]

  \(\frac{{{ \text{m}} + { \text{n}}}}{{{ \text{mn}}}}\)

• 2]

  \(\frac{{{ \text{m}} + { \text{n}}}}{{{ \text{mr}}}}\)

• 3]

  \(\frac{{{ \text{mr}}}}{{{ \text{m}} + { \text{n}}}}\)

• 4]

  \(\frac{{{ \text{r}}\left( {{ \text{m}} + { \text{n}}} \right)}}{{{ \text{mn}}}}\)

A 10 hectare field is reaped by 2 men, 3 women and 4 children together in 10 days. If working capabilities of a man, a woman and a child are in the ratio 5 : 4 : 2, then a 16 hectare field will be reaped by 6 men, 4 women and 7 children in = ?

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

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 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]

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

Two men undertake to do a piece of work for Rs. 1400. The first man alone can do this work in 7 days while the second man alone can do this work in 8 days. If they working together complete this work in 3 days with the help of a boy, how should the money be divided ?

• 1] Rs. 600, Rs. 550, Rs. 250
• 2] Rs. 600, Rs. 525, Rs. 275
• 3] Rs. 600, Rs. 500, Rs. 300
• 4] Rs. 500, Rs. 525, Rs. 375

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