Quiz Discussion

4 men and 10 women were put on work. They completed \(\frac{1}{3}\) of the work in 4 days. After this 2 men and 2 women were increased. They completed \(\frac{2}{9}\) more of the work in 2 days. If the remaining work is to be completed in 3 days, then how many more women must be increased?

• 1] 8
• 2] 32
• 3] 50
• 4] 55

A group of 12 men can do a piece of work in 14 days and other group of 12 women can do the same work in 21 days. They begin together but 3 days before the completion of work, man's group leaves off. The total number of days to complete the work is:

• 1]

  \(\frac{{65}}{4}\)

• 2]

  \(\frac{{93}}{3}\)

• 3]

  \(\frac{{51}}{5}\)

• 4]

  60

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]

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

Three friends Anne, Bob and Chris work together to do a certain job. Time it takes them to do the work together to do a certain job. The it takes them to do the work together is 6 hours less than Anne would have take alone, 1 hour less than Bob would have taken alone and half the time Chris would have taken working alone text. How long did it take them to complete the job, working together ?

• 1] 20 minutes
• 2] 30 minutes
• 3] 40 minutes
• 4] 50 minutes

A and B work together to complete the rest of a job in 7 days. However,\(\frac{{37}}{{100}}\) the job was already done. Also, the work done by A in 5 days is equal to the work done by B in 4 days. How many days would be required by the fastest worker to complete the entire work?

• 1] 20
• 2] 25
• 3] 30
• 4] 10

A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work is = ?

• 1] 20 days
• 2] 21 days
• 3] 22 days
• 4] 24 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 work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. The original number of workers was ?

• 1] 100
• 2] 110
• 3] 55
• 4] 50

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

A and B completed a work together in 5 days. had A worked at twice the speed and B at half the speed, it would have taken them four days to complete the job. How much time would it take for A alone to do the work?

• 1] 10 days
• 2] 20 days
• 3] 25 days
• 4] 15 days
• 5] 24 days