Quiz Discussion

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]

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

16 men can finish a piece of work in 49 days. 14 men started working and 8 days they could finish certain amount of work. If it is required to finish the remaining work in 24 days. How many more men should be added to the existing workforce ?

• 1] 21
• 2] 28
• 3] 16
• 4] 14

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 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 can build a wall in the same time in which B and C together can do it. If A and B together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it ?

• 1] 91 days
• 2] 100 days
• 3] 175 days
• 4] None of these

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 and B can together do a piece of work it in 6 days and A alone can do it in 9 days. The number of days B will take to do it alone is ?

• 1] 18 days
• 2] 24 days
• 3] 9 days
• 4] 12 days

6 men can complete a piece of work in 12 days, 8 women can complete the same piece of work in 18 days and 18 children can do it in 10 days. 4 men, 12 women and 20 children do the work for 2 days. If the remaining work be completed by men only in 1 day, how many men will be required ?

• 1] 36
• 2] 24
• 3] 18
• 4] Cannot be determined

A can do a work in 10 days. The efficiency of A is 20% less than B. How many days B need to finish the same work?

• 1] 8.5 days
• 2] 12.3 days
• 3] 8 days
• 4] 7.5 days

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