Quiz Discussion

A is twice as good a workman as B. If they work together, they can complete a job in 18 days. If A alone does the job, in how many days he will complete the job ?

• 1] 27 days
• 2] 36 days
• 3] 40 days
• 4] 54 days

A can do a piece of work in 15 days, which B can do it in 10 days. B worked at it for 8 days. A can finish the remaining work in?

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

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

40 men can complete a piece of work in 15 days. 20 more men joined them after 5 days they start doing work. How many days will be required by them to finish the remaining work ?

• 1]

  \({ \text{7}}\frac{2}{3}{ \text{ days}}\)

• 2]

  \({ \text{6}}\frac{1}{5}{ \text{ days}}\)

• 3]

  \({ \text{8}}\frac{1}{4}{ \text{ days}}\)

• 4]

  \({ \text{6}}\frac{2}{3}{ \text{ days}}\)

Three taps A, B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it?

• 1] 16 minutes
• 2] 24 minutes
• 3] 32 minutes
• 4] 40 minutes

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

Working together B and C take 50% more number of days than A, B and C together take and A and B working together, take \(\frac{8}{3} \)more number of days than A, B and C take together. If A, B, and C all have worked together till the completion of the work and B has received Rs. 120 out of total earnings of Rs. 450, then in how many days did A, B and C together complete the whole work?

• 1] 2 days
• 2] 4 days
• 3] 6 days
• 4] 8 days
• 5] 10 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