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]

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

If 12 carpenters working 6 hours a day can make 460 chairs in 240 days, then number of chairs made by 18 carpenters in 360 days each working 8 hours a day ?

• 1] 1320
• 2] 1380
• 3] 1260
• 4] 920

A pipe can fill a tank in 0.9 hours and another pipe can empty in 0.7 hours. If tank is completely filled and both pipes are opened simultaneously then 450 liters of water is removed from the tank is 2.5 hours. What is the capacity of the tank?

• 1] 200 liters
• 2] 350 liters
• 3] 456 liters
• 4] 567 liters
• 5] None of these

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 and B can together finish a piece of work in 30 days. They worked on it 20 days and then B left. The remaining work was done by A alone in 20 days. A alone can finish the work in = ?

• 1] 60 days
• 2] 54 days
• 3] 48 days
• 4] 50 days

Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work that when work together. If B worked alone, would take \({ \text{4}}\frac{1}{2}\) hours more than when working together. The time required to finish the work together is =?

• 1] 5 hours
• 2] 8 houras
• 3] 4 hours
• 4] 6 hours

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 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

The daily wages of A and B respectively are Rs. 3.50 and Rs. 2.50. When A finishes a certain work, he gets a total wage of Rs. 63. When B does the same work, he gets a total wage Rs. 75. If both of them do it together what is cost of the work ?

• 1] Rs. 67.50
• 2] Rs. 27.50
• 3] Rs. 60.50
• 4] Rs. 70.50

If 10 men can do a piece of work in 12 days, the time taken by 12 men to do the same piece of work will be:

• 1] 12 days
• 2] 10 days
• 3] 9 days
• 4] 8 days